This study utilizes panel data from 293 Chinese cities at the prefecture level or above,spanning from 2013 to 2022,to empirically examine the net effects and underlying mechanisms of establishing pilot free trade zone...This study utilizes panel data from 293 Chinese cities at the prefecture level or above,spanning from 2013 to 2022,to empirically examine the net effects and underlying mechanisms of establishing pilot free trade zones(FTZs)on integration into the digital global value chain(DGVC).The results demonstrate that the establishment of pilot FTZs positively promotes integration into the DGVC and generates a spatial spillover effect.Compared to coastal areas and small-and medium-sized cities,pilot FTZs have a more significant impact on the integration of inland regions and large cities into the DGVC.Mechanism tests reveal that pilot FTZs drive integration into the DGVC primarily by promoting digital industry agglomeration and enhancing the technological content of exports.Furthermore,bilateral foreign direct investment and digital trade rules positively amplify the impact of pilot FTZs on integration into the DGVC.Therefore,this study recommends comprehensively deepening the development of pilot FTZs,consistently enhancing the technological content of exports,and proactively establishing a sound digital trade regulatory framework.These recommendations offer valuable insights for DGVC integration and the construction of a high-standard free trade network.展开更多
In this paper, we study the multiple positive solutions of integral boundary value problems for a class of p-Laplacian differential equations involving the Caputo fractional derivative. Using a fixed point theorem due...In this paper, we study the multiple positive solutions of integral boundary value problems for a class of p-Laplacian differential equations involving the Caputo fractional derivative. Using a fixed point theorem due to Avery and Peterson, we obtain the existence of at least three positive decreasing solutions of the nonlocal boundary value problems. We give an example to illustrate our results.展开更多
By using the fixed point index in cone and the fixed theorem of cone expansion and compression, the existence of positive solutions to the singular second-order boundary value problem is considered.
In this paper, we consider a class of Banach space valued singular integrals. The Lp boundedness of these operators has already been obtained. We shall discuss their boundedness from BMO to BMO. As applications, we ge...In this paper, we consider a class of Banach space valued singular integrals. The Lp boundedness of these operators has already been obtained. We shall discuss their boundedness from BMO to BMO. As applications, we get BMO boundedness for the classic g-function and the Marcinkiewicz integral. Some known results are improved.展开更多
R.Witula et al obtained a stronger version of the second mean value theorem for integral with some restrictions.In this paper,the stronger version theorem is proved without any restriction.The result is first restrict...R.Witula et al obtained a stronger version of the second mean value theorem for integral with some restrictions.In this paper,the stronger version theorem is proved without any restriction.The result is first restricted to the Riemann integrable functions and can be easily generalized to L~p integrable functions by using the well-known result that continuous functions are dense in the Banach space L~p[a,b]for any p≥1.展开更多
We have talked about inclusiveness in many occasions in the SMEs taskforce working group.The starting point for our discussion is how to incorporate more people,more SMEs,morewomen and more young entrepreneurs into gl...We have talked about inclusiveness in many occasions in the SMEs taskforce working group.The starting point for our discussion is how to incorporate more people,more SMEs,morewomen and more young entrepreneurs into global economic development.SMEs shall be involved in the global trade platform along a certain value chain.If this can be achieved,展开更多
We consider the computation of the. Cauchy principal value mtegral by quadrature formulaeof compound type, which are obtained by replacing f by a piecewise defined function F,[;]. The behaviour of the constants m the ...We consider the computation of the. Cauchy principal value mtegral by quadrature formulaeof compound type, which are obtained by replacing f by a piecewise defined function F,[;]. The behaviour of the constants m the estimates where quadrature error) is determined for fixed i and which means that not only the. order, but also the coefficient of the main term of is determined. The behaviour of these error constants is compared -with the corresponding ones obtained for the. method of subtraction of the singularity. As it turns out, these error constants have, in general, the same asymptotic behaviour.展开更多
The classical composite rectangle (constant) rule for the computation of Cauchy principle value integral with the singular kernel is discussed. We show that the superconvergence rate of the composite midpoint ru...The classical composite rectangle (constant) rule for the computation of Cauchy principle value integral with the singular kernel is discussed. We show that the superconvergence rate of the composite midpoint rule occurs at certain local coodinate of each subinterval and obtain the corresponding superconvergence error estimate. Then collation methods are presented to solve certain kind of Hilbert singular integral equation. At last, some numerical examples are provided to validate the theoretical analysis.展开更多
Threshold is a limit and marginal point when a qualitative change takes place. Since threshold principle was firstly used in landform research by S.A.Schumm in the 1970s, the quantitative research on watershed landfor...Threshold is a limit and marginal point when a qualitative change takes place. Since threshold principle was firstly used in landform research by S.A.Schumm in the 1970s, the quantitative research on watershed landform development stage has come true. Davis proposed a three-stage model on landform evolution: young, mature and old stages. Thereafter Strahler quantified this model by hypsometric analysis method. The authors thought that the material movement stage cannot be expressed by hypsometric method in watershed landform at development stage, because of the uncertainty on stage delimitation. To meet this shortcoming, this paper presents an integral erosion value method. A clear delimitation on landform development stage in the Loess Plateau region has been tested by this method. The result shows that gullied loessial hilly area is at the mature stage, and gullied loessial tableland area is at the young stage. It is estimated that from the point of erosion related sediment yield, natural erosion accounts for 70% of the total erosion amount, and artificial accelerating erosion is 30%. Therefore soil and water conservation is very crucial for the Loess Plateau.展开更多
The Peano derivatives are introduced for functions along an arc in the complex plane. Singular integrals of arbitrary order with singularities at its end-points are defined so that a unified theory for such integrals ...The Peano derivatives are introduced for functions along an arc in the complex plane. Singular integrals of arbitrary order with singularities at its end-points are defined so that a unified theory for such integrals and Cauchy principal value integrals is established.展开更多
In order to screen rapeseed accessions with low temperature tolerance in triple cropping area,comprehensive membership function method was used to evaluate the low temperature tolerance of 176 accessions including inb...In order to screen rapeseed accessions with low temperature tolerance in triple cropping area,comprehensive membership function method was used to evaluate the low temperature tolerance of 176 accessions including inbred and hybrid lines of Brassica napus with germination rate,germination energy,germination index and average germination time as indicators.The results showed that 103 accessions with strong low temperature tolerance and 27 accessions with sensitive to low temperature stress were identified.The low temperature tolerance was significant different among accessions(P<0.001)while insignificantly different among different types(sterile lines,maintainer lines,restorer lines,and hybrid lines,P=0.07).The integrated membership function value was significantly correlated with germination rate,germination index and average germination time,which provided valuable information for the future breeding of low temperature tolerant varieties,especially in the middle reaches of the Yangtze River basin.展开更多
In this paper, the incorporation and use of ICT （Information and Communication Technologies） in organizations are recognized as a process that occurs in stages involving progressive levels of maturity towards the in...In this paper, the incorporation and use of ICT （Information and Communication Technologies） in organizations are recognized as a process that occurs in stages involving progressive levels of maturity towards the integration of the extended value chain. In the beginning, ICT are applied to the digitalization of tasks and processes within the organization that facilitates the transition to the stage of integration of information systems and internal communication. Once this level of maturity is reached, it is possible to extend the application oflCT in inter-organizational processes. The main objective of this work is to identify factors that encourage the integration of inter-organizational information systems and the development of the extended value chain. One of the difficulties that this kind of study has to face is on the lack of precise empirical tools that enable comparability of results, both in time and between sectors and countries. It is therefore necessary to perform specific works that shed light on whether the efforts of local organizations to integrate ICT enhance collaborative processes with the environment and the factors influencing these results. It was applied a mixed methodology that combines ad-hoc survey and Tool Assessment Websites, carried out on 23 industrial manufacturing companies located in Rosario and Cordoba Argentina. The search was oriented to the identification of a limited number of indicators, but with the advantage of being amenable to being followed in time, for a number of companies in the region under study. The results indicate that companies with customers and/or suppliers abroad denote a higher level of maturity in the application of ICT.展开更多
Objective: to select patients with diabetes mellitus complicated with herpes zoster, treat them with modified Liuwei Dihuang Decoction combined with plum blossom needle and cupping, and observe their clinical curative...Objective: to select patients with diabetes mellitus complicated with herpes zoster, treat them with modified Liuwei Dihuang Decoction combined with plum blossom needle and cupping, and observe their clinical curative effect. Methods: from September 2019 to April 2021, a total of 50 patients with diabetes complicated with herpes zoster in our hospital were selected. According to the difference of treatment methods, 25 cases were divided into western medicine group and treated with acyclovir combined with mecobalamin. A total of 25 cases in the TCM group were treated with Liuwei Dihuang Decoction, plum blossom needle and cupping. Clinical efficacy related indicators, neuralgia legacy, effective rate of treatment, integral value of TCM syndromes, improvement of blood sugar level, and investigation results of adverse reactions were analyzed between groups. Results: the healing time, pain disappearance time, scabbing time and scabbing time of blisters in TCM group were all shorter, and the pain score was lower (P < 0.05). After 10 days, one month, three months and six months after treatment, the residual rate of neuralgia in TCM group was lower (P < 0.05). The effective rate of TCM group was higher (P < 0.05). The incidence of adverse reactions in TCM group was lower (P < 0.05). Before treatment, there was no significant difference in TCM syndrome score and blood sugar level between groups (P > 0.05). After treatment, there was no significant difference in glycosylated hemoglobin (P > 0.05), but the fasting blood glucose of TCM group was higher and the blood glucose of 2h after meal was lower (P < 0.05). Conclusion: modified Liuwei Dihuang Decoction combined with plum-blossom needle and cupping therapy has a good clinical effect on patients with diabetes mellitus complicated with herpes zoster. It can improve the blood sugar level of patients, relieve their clinical symptoms and prevent the occurrence of adverse reactions.展开更多
In the fight against the COVID-19 pandemic, conflicts between the right to life and health and the rights to freedom, economy and equality are inevitable exploring conflicts of human rights and responding solutions wi...In the fight against the COVID-19 pandemic, conflicts between the right to life and health and the rights to freedom, economy and equality are inevitable exploring conflicts of human rights and responding solutions will directly influence the success of the battle against the coronavirus From the perspective of human rights’ subjects, the conflicts are between young and elder COVID-19 patients, COVID-19 and non-COVID-19 patients, citizens from epidemic center areas and non-epidemic areas In terms of the content of these rights, the conflict between the right to life and health and the right to econom ic freedom should be resolved based on four principles: priority, the limit of costs, baseline equality, and resto ration of justice on the value side, the relationship between social order and freedoms should be clarified in five aspects: life, market, security, news, and speech to build a good governance model that can stabilize the order of epidemic preven tion & control order and maintain social vitality.展开更多
A new method to solve the boundary value problem arising in the study of scattering of two-dimensional surface water waves by a discontinuity in the surface boundary conditions is presented in this paper. The disconti...A new method to solve the boundary value problem arising in the study of scattering of two-dimensional surface water waves by a discontinuity in the surface boundary conditions is presented in this paper. The discontinuity arises due to the floating of two semi-infinite inertial surfaces of different surface densities. Applying Green＇s second identity to the potential functions and appropriate Green＇s functions, this problem is reduced to solving two coupled Fredholm integral equations with regular kernels. The solutions to these integral equations are used to determine the reflection and the transmission coefficients. The results for the reflection coefficient are presented graphically and are compared to those obtained earlier using other research methods. It is observed from the graphs that the results computed from the present analysis match exactly with the previous results.展开更多
In the paper, we consider the existence and uniqueness results for Caputo fractional differential equations with integral boundary value condition. The sufficient conditions of existence and uniqueness are obtained by...In the paper, we consider the existence and uniqueness results for Caputo fractional differential equations with integral boundary value condition. The sufficient conditions of existence and uniqueness are obtained by applying the contraction map-ping principle, Krasnoselskii＇s fixed point theorem and Leray-Schauder degree the-ory, which party improves and extends the associated results of fractional differentialequations. Four examples illustrating our main results are included.展开更多
In this paper, we study a second order integral boundary value problem with delay. By the Krasnoselskii fixed point theorem, we obtain sufficient conditions for the existence of at least one or two positive solutions ...In this paper, we study a second order integral boundary value problem with delay. By the Krasnoselskii fixed point theorem, we obtain sufficient conditions for the existence of at least one or two positive solutions to the problem.展开更多
In this paper, we study the existence of positive solutions to an integral boundary value problem with delay for a coupled system of fractional differential equations. By using the Krasnoselskii fixed point theorem, w...In this paper, we study the existence of positive solutions to an integral boundary value problem with delay for a coupled system of fractional differential equations. By using the Krasnoselskii fixed point theorem, we obtain sufficient conditions for the existence of at least one or two positive solutions to the problem under some weaker conditions.展开更多
In this paper, we are mainly concerned with the existence and multiplicity of positive solutions to a frst order integral boundary value problem with impulsive efects on time scales. Under some conditions concerning t...In this paper, we are mainly concerned with the existence and multiplicity of positive solutions to a frst order integral boundary value problem with impulsive efects on time scales. Under some conditions concerning the frst eigenvalues corresponding to the relevant linear operators, we obtain the main results by Krasnoselskii-Zabreiko fxed point theorem.展开更多
基金supported by the Key Project of the Hainan Province Marxist Theory Research and Development Program,titled“Research on the Opportunities and Challenges of the Digital Economy Partnership Agreement(DEPA)for the Construction of the Hainan Free Trade Port”(Grant Number:2023HNMGC02).
文摘This study utilizes panel data from 293 Chinese cities at the prefecture level or above,spanning from 2013 to 2022,to empirically examine the net effects and underlying mechanisms of establishing pilot free trade zones(FTZs)on integration into the digital global value chain(DGVC).The results demonstrate that the establishment of pilot FTZs positively promotes integration into the DGVC and generates a spatial spillover effect.Compared to coastal areas and small-and medium-sized cities,pilot FTZs have a more significant impact on the integration of inland regions and large cities into the DGVC.Mechanism tests reveal that pilot FTZs drive integration into the DGVC primarily by promoting digital industry agglomeration and enhancing the technological content of exports.Furthermore,bilateral foreign direct investment and digital trade rules positively amplify the impact of pilot FTZs on integration into the DGVC.Therefore,this study recommends comprehensively deepening the development of pilot FTZs,consistently enhancing the technological content of exports,and proactively establishing a sound digital trade regulatory framework.These recommendations offer valuable insights for DGVC integration and the construction of a high-standard free trade network.
基金Supported by the National Natural Science Foundation of China(Grant No.11171220)the Innovation Program of Shanghai Municipal Education Commission(Grant No.10ZZ93)
文摘In this paper, we study the multiple positive solutions of integral boundary value problems for a class of p-Laplacian differential equations involving the Caputo fractional derivative. Using a fixed point theorem due to Avery and Peterson, we obtain the existence of at least three positive decreasing solutions of the nonlocal boundary value problems. We give an example to illustrate our results.
基金Supported by Scientific Research Fund of Lushan College of Guangxi University of Science and Technology(Grant No.2013lszk01)
文摘By using the fixed point index in cone and the fixed theorem of cone expansion and compression, the existence of positive solutions to the singular second-order boundary value problem is considered.
基金Supported by NSFC (No. 10901043, 10871173, 11026104)
文摘In this paper, we consider a class of Banach space valued singular integrals. The Lp boundedness of these operators has already been obtained. We shall discuss their boundedness from BMO to BMO. As applications, we get BMO boundedness for the classic g-function and the Marcinkiewicz integral. Some known results are improved.
基金Supported by Natural Science Basic Research Program of Shaanxi(Program No.2021JM-487)the Special Scientific Research Program of the Education Department of Shaanxi Province(Grant No.18JK0161)the Scientific Research Foundation of Shaanxi University of Technology(Grant No.SLGQD1807)。
文摘R.Witula et al obtained a stronger version of the second mean value theorem for integral with some restrictions.In this paper,the stronger version theorem is proved without any restriction.The result is first restricted to the Riemann integrable functions and can be easily generalized to L~p integrable functions by using the well-known result that continuous functions are dense in the Banach space L~p[a,b]for any p≥1.
文摘We have talked about inclusiveness in many occasions in the SMEs taskforce working group.The starting point for our discussion is how to incorporate more people,more SMEs,morewomen and more young entrepreneurs into global economic development.SMEs shall be involved in the global trade platform along a certain value chain.If this can be achieved,
文摘We consider the computation of the. Cauchy principal value mtegral by quadrature formulaeof compound type, which are obtained by replacing f by a piecewise defined function F,[;]. The behaviour of the constants m the estimates where quadrature error) is determined for fixed i and which means that not only the. order, but also the coefficient of the main term of is determined. The behaviour of these error constants is compared -with the corresponding ones obtained for the. method of subtraction of the singularity. As it turns out, these error constants have, in general, the same asymptotic behaviour.
文摘The classical composite rectangle (constant) rule for the computation of Cauchy principle value integral with the singular kernel is discussed. We show that the superconvergence rate of the composite midpoint rule occurs at certain local coodinate of each subinterval and obtain the corresponding superconvergence error estimate. Then collation methods are presented to solve certain kind of Hilbert singular integral equation. At last, some numerical examples are provided to validate the theoretical analysis.
文摘Threshold is a limit and marginal point when a qualitative change takes place. Since threshold principle was firstly used in landform research by S.A.Schumm in the 1970s, the quantitative research on watershed landform development stage has come true. Davis proposed a three-stage model on landform evolution: young, mature and old stages. Thereafter Strahler quantified this model by hypsometric analysis method. The authors thought that the material movement stage cannot be expressed by hypsometric method in watershed landform at development stage, because of the uncertainty on stage delimitation. To meet this shortcoming, this paper presents an integral erosion value method. A clear delimitation on landform development stage in the Loess Plateau region has been tested by this method. The result shows that gullied loessial hilly area is at the mature stage, and gullied loessial tableland area is at the young stage. It is estimated that from the point of erosion related sediment yield, natural erosion accounts for 70% of the total erosion amount, and artificial accelerating erosion is 30%. Therefore soil and water conservation is very crucial for the Loess Plateau.
文摘The Peano derivatives are introduced for functions along an arc in the complex plane. Singular integrals of arbitrary order with singularities at its end-points are defined so that a unified theory for such integrals and Cauchy principal value integrals is established.
文摘In order to screen rapeseed accessions with low temperature tolerance in triple cropping area,comprehensive membership function method was used to evaluate the low temperature tolerance of 176 accessions including inbred and hybrid lines of Brassica napus with germination rate,germination energy,germination index and average germination time as indicators.The results showed that 103 accessions with strong low temperature tolerance and 27 accessions with sensitive to low temperature stress were identified.The low temperature tolerance was significant different among accessions(P<0.001)while insignificantly different among different types(sterile lines,maintainer lines,restorer lines,and hybrid lines,P=0.07).The integrated membership function value was significantly correlated with germination rate,germination index and average germination time,which provided valuable information for the future breeding of low temperature tolerant varieties,especially in the middle reaches of the Yangtze River basin.
文摘In this paper, the incorporation and use of ICT （Information and Communication Technologies） in organizations are recognized as a process that occurs in stages involving progressive levels of maturity towards the integration of the extended value chain. In the beginning, ICT are applied to the digitalization of tasks and processes within the organization that facilitates the transition to the stage of integration of information systems and internal communication. Once this level of maturity is reached, it is possible to extend the application oflCT in inter-organizational processes. The main objective of this work is to identify factors that encourage the integration of inter-organizational information systems and the development of the extended value chain. One of the difficulties that this kind of study has to face is on the lack of precise empirical tools that enable comparability of results, both in time and between sectors and countries. It is therefore necessary to perform specific works that shed light on whether the efforts of local organizations to integrate ICT enhance collaborative processes with the environment and the factors influencing these results. It was applied a mixed methodology that combines ad-hoc survey and Tool Assessment Websites, carried out on 23 industrial manufacturing companies located in Rosario and Cordoba Argentina. The search was oriented to the identification of a limited number of indicators, but with the advantage of being amenable to being followed in time, for a number of companies in the region under study. The results indicate that companies with customers and/or suppliers abroad denote a higher level of maturity in the application of ICT.
文摘Objective: to select patients with diabetes mellitus complicated with herpes zoster, treat them with modified Liuwei Dihuang Decoction combined with plum blossom needle and cupping, and observe their clinical curative effect. Methods: from September 2019 to April 2021, a total of 50 patients with diabetes complicated with herpes zoster in our hospital were selected. According to the difference of treatment methods, 25 cases were divided into western medicine group and treated with acyclovir combined with mecobalamin. A total of 25 cases in the TCM group were treated with Liuwei Dihuang Decoction, plum blossom needle and cupping. Clinical efficacy related indicators, neuralgia legacy, effective rate of treatment, integral value of TCM syndromes, improvement of blood sugar level, and investigation results of adverse reactions were analyzed between groups. Results: the healing time, pain disappearance time, scabbing time and scabbing time of blisters in TCM group were all shorter, and the pain score was lower (P < 0.05). After 10 days, one month, three months and six months after treatment, the residual rate of neuralgia in TCM group was lower (P < 0.05). The effective rate of TCM group was higher (P < 0.05). The incidence of adverse reactions in TCM group was lower (P < 0.05). Before treatment, there was no significant difference in TCM syndrome score and blood sugar level between groups (P > 0.05). After treatment, there was no significant difference in glycosylated hemoglobin (P > 0.05), but the fasting blood glucose of TCM group was higher and the blood glucose of 2h after meal was lower (P < 0.05). Conclusion: modified Liuwei Dihuang Decoction combined with plum-blossom needle and cupping therapy has a good clinical effect on patients with diabetes mellitus complicated with herpes zoster. It can improve the blood sugar level of patients, relieve their clinical symptoms and prevent the occurrence of adverse reactions.
基金the phased results of the“Research on the Perfection of Socialist Core Values and Educational Legal System”,a key research project of the National Social Science Fund of China(Project No.19VHJ010)
文摘In the fight against the COVID-19 pandemic, conflicts between the right to life and health and the rights to freedom, economy and equality are inevitable exploring conflicts of human rights and responding solutions will directly influence the success of the battle against the coronavirus From the perspective of human rights’ subjects, the conflicts are between young and elder COVID-19 patients, COVID-19 and non-COVID-19 patients, citizens from epidemic center areas and non-epidemic areas In terms of the content of these rights, the conflict between the right to life and health and the right to econom ic freedom should be resolved based on four principles: priority, the limit of costs, baseline equality, and resto ration of justice on the value side, the relationship between social order and freedoms should be clarified in five aspects: life, market, security, news, and speech to build a good governance model that can stabilize the order of epidemic preven tion & control order and maintain social vitality.
基金Partially Supported by a DST Research Project to RG(No.SR/FTP/MS-020/2010)
文摘A new method to solve the boundary value problem arising in the study of scattering of two-dimensional surface water waves by a discontinuity in the surface boundary conditions is presented in this paper. The discontinuity arises due to the floating of two semi-infinite inertial surfaces of different surface densities. Applying Green＇s second identity to the potential functions and appropriate Green＇s functions, this problem is reduced to solving two coupled Fredholm integral equations with regular kernels. The solutions to these integral equations are used to determine the reflection and the transmission coefficients. The results for the reflection coefficient are presented graphically and are compared to those obtained earlier using other research methods. It is observed from the graphs that the results computed from the present analysis match exactly with the previous results.
文摘In the paper, we consider the existence and uniqueness results for Caputo fractional differential equations with integral boundary value condition. The sufficient conditions of existence and uniqueness are obtained by applying the contraction map-ping principle, Krasnoselskii＇s fixed point theorem and Leray-Schauder degree the-ory, which party improves and extends the associated results of fractional differentialequations. Four examples illustrating our main results are included.
基金Supported by Beijing Higher Education Young Elite Teacher Project
文摘In this paper, we study a second order integral boundary value problem with delay. By the Krasnoselskii fixed point theorem, we obtain sufficient conditions for the existence of at least one or two positive solutions to the problem.
基金Beijing Higher Education Young Elite Teacher Project(No.YETP0388)
文摘In this paper, we study the existence of positive solutions to an integral boundary value problem with delay for a coupled system of fractional differential equations. By using the Krasnoselskii fixed point theorem, we obtain sufficient conditions for the existence of at least one or two positive solutions to the problem under some weaker conditions.
基金supported by Graduate Independent Innovation Foundation of Shandong University(yzc12063)
文摘In this paper, we are mainly concerned with the existence and multiplicity of positive solutions to a frst order integral boundary value problem with impulsive efects on time scales. Under some conditions concerning the frst eigenvalues corresponding to the relevant linear operators, we obtain the main results by Krasnoselskii-Zabreiko fxed point theorem.
