To study a class of boundary value problems of parabolic differential equations with deviating arguments, averaging technique, Green’s formula and symbol function sign(·) are used. The multi dimensional problem...To study a class of boundary value problems of parabolic differential equations with deviating arguments, averaging technique, Green’s formula and symbol function sign(·) are used. The multi dimensional problem was reduced to a one dimensional oscillation problem for ordinary differential equations or inequalities. Two oscillatory criteria of solutions for systems of parabolic differential equations with deviating arguments are obtained.展开更多
Aim To study properties of solutions to a class of second order differential inequality with continuous distributed deviating arguments. Methods A direct analysis technique was used. Results and Conclusion Some suf...Aim To study properties of solutions to a class of second order differential inequality with continuous distributed deviating arguments. Methods A direct analysis technique was used. Results and Conclusion Some sufficient conditions that ensure a class of second order delay differential inequality having no eventually positive solutions were obtained, which generalized some given results. Using the results, some oscillatory criteria for solutions of the hyperbolic equation with distributed deviating arguments can be established.展开更多
Based on Mansevich-Mawhin continuation theorem and some analysis skill,some sufficient conditions for the existence of periodic solutions for mixed type p-Laplacian equation with deviating arguments are established,...Based on Mansevich-Mawhin continuation theorem and some analysis skill,some sufficient conditions for the existence of periodic solutions for mixed type p-Laplacian equation with deviating arguments are established,which are complement of previously known results.展开更多
In this paper, the stability and bifurcation behaviors of a predator-prey model with the piecewise constant arguments and time delay are investigated. Technical approach is fully based on Jury criterion and bifurcatio...In this paper, the stability and bifurcation behaviors of a predator-prey model with the piecewise constant arguments and time delay are investigated. Technical approach is fully based on Jury criterion and bifurcation theory. The interesting point is that the model will produce two different branches by limiting branch parameters of different intervals. Besides, image simulation is also given.展开更多
In this paper, we investigate the existence, uniqueness and the asymptotic equiv- alence of a linear system and a perturbed system of differential equations with piecewise alternately advanced and retarded argument of...In this paper, we investigate the existence, uniqueness and the asymptotic equiv- alence of a linear system and a perturbed system of differential equations with piecewise alternately advanced and retarded argument of generalized type （DEPCAG）. This is based in the study of an equivalent integral equation with Cauchy and Green matrices type and in a solution of a DEPCAG integral inequality of Gronwall type. Several examples are also given to show the feasibility of results.展开更多
The oscillations of a class of vector parabolic partial differential equations with continuous distribution arguments are studied.By employing the concept of H-oscillation and the method of reducing dimension with inn...The oscillations of a class of vector parabolic partial differential equations with continuous distribution arguments are studied.By employing the concept of H-oscillation and the method of reducing dimension with inner product,the multi-dimensional oscillation problems are changed into the problems of which one-dimensional functional differential inequalities have not eventually positive solution.Some new sufficient conditions for the H-oscillation of all solutions of the equations are obtained under Dirichlet boundary condition,where H is a unit vector of RM.展开更多
Current design criteria and prineiples of earthquake engineering design are reviewed,including safety factors, probabilistic approach,and two-level and muhi-level functional design ideas.The modern multi-functional id...Current design criteria and prineiples of earthquake engineering design are reviewed,including safety factors, probabilistic approach,and two-level and muhi-level functional design ideas.The modern multi-functional idea is discussed in greater details.When designing a structure,its resistance to and the intensity of the earthquake action are considered. The consequence of failure of the structure is considered only through a rough and empirical factor of importance,ranging usually from 1.0 to 1.5.This paper suggests a method of'consequence-based design,'which considers the consequences of malfunctioning instead of simply an importance factor.The main argument for this method is that damage to a structure located in different types of societies may have very different consequences,which are depeudant on its value and usefulness to the society and the seismicity in the region.展开更多
In this paper, we consider <i>r</i>-generalization of the central factorial numbers with odd arguments of the first and second kind. Mainly, we obtain various identities and properties related to these num...In this paper, we consider <i>r</i>-generalization of the central factorial numbers with odd arguments of the first and second kind. Mainly, we obtain various identities and properties related to these numbers. Matrix representation and the relation between these numbers and Pascal matrix are given. Furthermore, the distributions of the signless r-central factorial numbers are derived. In addition, connections between these numbers and the Legendre-Stirling numbers are given.展开更多
This paper deals with the stability analysis of the Euler-Maclaurin method for differential equations with piecewise constant arguments of mixed type. The expression of analytical solution is derived and the stability...This paper deals with the stability analysis of the Euler-Maclaurin method for differential equations with piecewise constant arguments of mixed type. The expression of analytical solution is derived and the stability regions of the analytical solution are given. The necessary and sufficient conditions under which the numerical solution is asymptotically stable are discussed. The conditions under which the analytical stability region is contained in the numerical stability region are obtained and some numerical examples are given.展开更多
A class of hyperbolic equations with continuous distributed deviating arguments is considered and its oscillation theorems are discussed.These theorems are of higher degree of generality and deal with the cases which ...A class of hyperbolic equations with continuous distributed deviating arguments is considered and its oscillation theorems are discussed.These theorems are of higher degree of generality and deal with the cases which are not covered by the known criteria.Particularly,these criteria extend and unify a number of existing results.展开更多
In this paper we establish new oscillation criteria for all solution of the first order differential equation with deviating argument. Our result can be applied to the case when coefficients and deviating arguments ar...In this paper we establish new oscillation criteria for all solution of the first order differential equation with deviating argument. Our result can be applied to the case when coefficients and deviating arguments are oscillatory and essentially improve the known results in the literature.展开更多
In this paper, we point out some small mistakes in [6] and revise them, we obtain some new oscillation results for certain even order neutral differential equations with deviating arguments. Our results extend and imp...In this paper, we point out some small mistakes in [6] and revise them, we obtain some new oscillation results for certain even order neutral differential equations with deviating arguments. Our results extend and improve many known oscillation criteria because the article just generalizes Meng and Xu’s results.展开更多
In the present article, we apply the modified piecewise variational iteration method to obtain the approximate analytical solutions of the differential equations with piecewise continuous arguments. This technique pro...In the present article, we apply the modified piecewise variational iteration method to obtain the approximate analytical solutions of the differential equations with piecewise continuous arguments. This technique provides a sequence of functions which converges to the exact solution of the problem. Moreover, this method reduces the volume of calculations because it does not need discretization of the variables, linearization or small perturbations. The results seem to show that the method is very reliable and convenient for solving such equations.展开更多
The main purpose of this article is to present the initial phase of the project in the field of argumentation theory and political philosophy. Project concerns studies of different types of rationality in the context ...The main purpose of this article is to present the initial phase of the project in the field of argumentation theory and political philosophy. Project concerns studies of different types of rationality in the context of the argumentation. Background consideration is the problem of incommensurability and incompatibility types of rationality in political and ideological disputes. The first step is the establishment of a category of argumentative potential as a criterion for the typology of argument, which will build a map of argumentation, which will provide a starting point for a discussion. Apart from demonstrating the disproportion of discourses, the conclusion of the argument is to prove the local character of rationality.展开更多
To detect more attacks aiming at key security data in program behavior-based anomaly detection,the data flow properties were formulated as unary and binary relations on system call arguments.A new method named two-phr...To detect more attacks aiming at key security data in program behavior-based anomaly detection,the data flow properties were formulated as unary and binary relations on system call arguments.A new method named two-phrase analysis(2PA)is designed to analyze the efficient relation dependency,and its description as well as advantages are discussed.During the phase of static analysis,a dependency graph was constructed according to the program's data dependency graph,which was used in the phase of dynamic learning to learn specified binary relations.The constructed dependency graph only stores the information of related arguments and events,thus improves the efficiency of the learning algorithm and reduces the size of learned relation dependencies.Performance evaluations show that the new method is more efficient than existing methods.展开更多
This study aims to reveal the prototypical argumentative patterns employed in situations where patient distrust arises in China.Based on the quantitative analysis of data from a general social survey,we focus on a dis...This study aims to reveal the prototypical argumentative patterns employed in situations where patient distrust arises in China.Based on the quantitative analysis of data from a general social survey,we focus on a distinctive phenomenon that while a majority of Chinese respondents trust the medical profession as a whole,significant distrust exists toward doctors'skills and ethics,particularly among older,urban,and higher income populations.Qualtatively,we employ Generalized Argumentation Theory to analyze Chinese clinical dialogues,identifying three kinds of prototypical argumentative patterns in situations of patient distrust.Methodologically,this article shows the value of combining statistical analysis with goal-oriented Generalized Argumentation research to reconcile the tricky trust phenomenon of Chinese doctor-patient communication.展开更多
Physical restraint is one of the most controversial methods in managing aggressive behaviors and maintaining patients' safety. This manuscript purposed to convince stockholders and policymakers of the negative imp...Physical restraint is one of the most controversial methods in managing aggressive behaviors and maintaining patients' safety. This manuscript purposed to convince stockholders and policymakers of the negative impact of physical restraint on patients' psychological and physical health. The current authors review the ethical and legal underpinnings of the opponents' and proponents' views. On one hand, there is a clear violation of the main principles of the code of ethics. Autonomy and justice;as the patients are tied against their will and without obtaining their consent, non-maleficent;as physical restraints are reported in many cases of physical and psychological traumas, thus many agencies prohibited the use of physical restraints as a safety method to be replaced with other deescalating techniques. On the other hand, physical restraints are a precious method in controlling aggressive behaviors and maintaining patients' safety, which is the selective beneficence in providing patient care. Also, most of the same agencies who prohibited the use of restraints, agreed the use of physical restraint as the last resor t.Summary statement What is already known about this topic?· Currently, physical restraint is used as the first accessible method to manage patients' behaviors, without considering the negative aura that surrounds the way of treatment. The usage of physical restraint has gone beyond the purpose of maintaining patient safety and managing aggressive behaviors to be a punishment method.· The Ethical and Legal context of using physical restraints is still vague and needs more clarification.What does this paper add?· This manuscript illustrates the Ethical and Legal points of view of the opponents and proponents of using physical restraints.· The current manuscript clearly justifies the authors' point of view to oppose physical restraints usage and how physical restraints violate the core principles of the code of ethics. In addition, it illustrates the legal agencies that suppor t/oppose the usage of physical restraint and the rationale beyond that position.· This manuscript provides alternatives to manage patients' aggressive behaviors and other ways to protect patients' safety as well as patient's dignity and code of ethics.The implications of this paper This argumentative essay provides an accessible, relevant exploration of public health policy, and its impact on nursing practice, mental health services, and patient health. Moreover, it provides a forum for mental health services to evaluate the current implications of physical restraints. The manuscript creates a paradigm for future studies and projects on physical restraints usage.展开更多
This paper deals with numerical computation and analysis for the initial boundary problems of two dimensional(2D)Sobolev equations with piecewise continuous argument.Firstly,a two-level high-order compact difference m...This paper deals with numerical computation and analysis for the initial boundary problems of two dimensional(2D)Sobolev equations with piecewise continuous argument.Firstly,a two-level high-order compact difference method(HOCDM)with computational accuracy O(τ^(2)+h_(x)^(4)+h_(y)^(4))is suggested,whereτ,h_(x),h_(y) denote the temporal and spatial stepsizes of the method,respectively.In order to improve the temporal computational accuracy of this method,the Richardson extrapolation technique is used and thus a new two-level HOCDMis derived,which is proved to be convergent of order four both in time and space.Although the new two-level HOCDM has the higher computational accuracy in time than the previous one,it will bring a larger computational cost.To overcome this deficiency,a three-level HOCDM with computational accuracy O(τ^(4)+h_(x)^(4)+h_(y)^(4))is constructed.Finally,with a series of numerical experiments,the theoretical accuracy and computational efficiency of the above methods are further verified.展开更多
Process-oriented writing is the main way for teachers to precisely control the problems and weak links presented by students in each writing stage.Therefore,it is possible to design teaching activities that are in lin...Process-oriented writing is the main way for teachers to precisely control the problems and weak links presented by students in each writing stage.Therefore,it is possible to design teaching activities that are in line with their cognitive levels based on students’needs;promote writing through debate,attach importance to the high integration of reading,speaking,and writing;and strengthen the subjectivity of students in writing by taking interest as the lead and life as the source.展开更多
文摘To study a class of boundary value problems of parabolic differential equations with deviating arguments, averaging technique, Green’s formula and symbol function sign(·) are used. The multi dimensional problem was reduced to a one dimensional oscillation problem for ordinary differential equations or inequalities. Two oscillatory criteria of solutions for systems of parabolic differential equations with deviating arguments are obtained.
文摘Aim To study properties of solutions to a class of second order differential inequality with continuous distributed deviating arguments. Methods A direct analysis technique was used. Results and Conclusion Some sufficient conditions that ensure a class of second order delay differential inequality having no eventually positive solutions were obtained, which generalized some given results. Using the results, some oscillatory criteria for solutions of the hyperbolic equation with distributed deviating arguments can be established.
基金Foundation item： Supported by the Foundation of Education Department of Jiangxi Province（G J J11234） Supported by the Natural Science Foundation of Jiangxi Province（2009GQS0023） Supported by the Natural Science Foundation of Shangrao Normal University（1001）
文摘Based on Mansevich-Mawhin continuation theorem and some analysis skill,some sufficient conditions for the existence of periodic solutions for mixed type p-Laplacian equation with deviating arguments are established,which are complement of previously known results.
基金supported by Beijing Higher Education Young Elite Teacher(YETP0458)
文摘In this paper, the stability and bifurcation behaviors of a predator-prey model with the piecewise constant arguments and time delay are investigated. Technical approach is fully based on Jury criterion and bifurcation theory. The interesting point is that the model will produce two different branches by limiting branch parameters of different intervals. Besides, image simulation is also given.
文摘In this paper, we investigate the existence, uniqueness and the asymptotic equiv- alence of a linear system and a perturbed system of differential equations with piecewise alternately advanced and retarded argument of generalized type （DEPCAG）. This is based in the study of an equivalent integral equation with Cauchy and Green matrices type and in a solution of a DEPCAG integral inequality of Gronwall type. Several examples are also given to show the feasibility of results.
基金Supported by the Science Research Foundation of Administration of Education of Hunan Province(07C164)
文摘The oscillations of a class of vector parabolic partial differential equations with continuous distribution arguments are studied.By employing the concept of H-oscillation and the method of reducing dimension with inner product,the multi-dimensional oscillation problems are changed into the problems of which one-dimensional functional differential inequalities have not eventually positive solution.Some new sufficient conditions for the H-oscillation of all solutions of the equations are obtained under Dirichlet boundary condition,where H is a unit vector of RM.
文摘Current design criteria and prineiples of earthquake engineering design are reviewed,including safety factors, probabilistic approach,and two-level and muhi-level functional design ideas.The modern multi-functional idea is discussed in greater details.When designing a structure,its resistance to and the intensity of the earthquake action are considered. The consequence of failure of the structure is considered only through a rough and empirical factor of importance,ranging usually from 1.0 to 1.5.This paper suggests a method of'consequence-based design,'which considers the consequences of malfunctioning instead of simply an importance factor.The main argument for this method is that damage to a structure located in different types of societies may have very different consequences,which are depeudant on its value and usefulness to the society and the seismicity in the region.
文摘In this paper, we consider <i>r</i>-generalization of the central factorial numbers with odd arguments of the first and second kind. Mainly, we obtain various identities and properties related to these numbers. Matrix representation and the relation between these numbers and Pascal matrix are given. Furthermore, the distributions of the signless r-central factorial numbers are derived. In addition, connections between these numbers and the Legendre-Stirling numbers are given.
基金Supported by the National Natural Science Foundation of China(Grant No.11201084)
文摘This paper deals with the stability analysis of the Euler-Maclaurin method for differential equations with piecewise constant arguments of mixed type. The expression of analytical solution is derived and the stability regions of the analytical solution are given. The necessary and sufficient conditions under which the numerical solution is asymptotically stable are discussed. The conditions under which the analytical stability region is contained in the numerical stability region are obtained and some numerical examples are given.
基金Supported by the NNSF of China（A011403）Supported by the Young Teachers Science Foundation of Beijing University of Civil Engineering and Architecture（100804107）
文摘A class of hyperbolic equations with continuous distributed deviating arguments is considered and its oscillation theorems are discussed.These theorems are of higher degree of generality and deal with the cases which are not covered by the known criteria.Particularly,these criteria extend and unify a number of existing results.
文摘In this paper we establish new oscillation criteria for all solution of the first order differential equation with deviating argument. Our result can be applied to the case when coefficients and deviating arguments are oscillatory and essentially improve the known results in the literature.
文摘In this paper, we point out some small mistakes in [6] and revise them, we obtain some new oscillation results for certain even order neutral differential equations with deviating arguments. Our results extend and improve many known oscillation criteria because the article just generalizes Meng and Xu’s results.
文摘In the present article, we apply the modified piecewise variational iteration method to obtain the approximate analytical solutions of the differential equations with piecewise continuous arguments. This technique provides a sequence of functions which converges to the exact solution of the problem. Moreover, this method reduces the volume of calculations because it does not need discretization of the variables, linearization or small perturbations. The results seem to show that the method is very reliable and convenient for solving such equations.
文摘The main purpose of this article is to present the initial phase of the project in the field of argumentation theory and political philosophy. Project concerns studies of different types of rationality in the context of the argumentation. Background consideration is the problem of incommensurability and incompatibility types of rationality in political and ideological disputes. The first step is the establishment of a category of argumentative potential as a criterion for the typology of argument, which will build a map of argumentation, which will provide a starting point for a discussion. Apart from demonstrating the disproportion of discourses, the conclusion of the argument is to prove the local character of rationality.
文摘To detect more attacks aiming at key security data in program behavior-based anomaly detection,the data flow properties were formulated as unary and binary relations on system call arguments.A new method named two-phrase analysis(2PA)is designed to analyze the efficient relation dependency,and its description as well as advantages are discussed.During the phase of static analysis,a dependency graph was constructed according to the program's data dependency graph,which was used in the phase of dynamic learning to learn specified binary relations.The constructed dependency graph only stores the information of related arguments and events,thus improves the efficiency of the learning algorithm and reduces the size of learned relation dependencies.Performance evaluations show that the new method is more efficient than existing methods.
基金supported by the Fundamental Research Funds for the Chinese MOE Project of Key Research Institute of Humanities and Social Sciences at Universities(22JJD720022)the Central Universities of Jinan University(Grant No.23JNQMX55).
文摘This study aims to reveal the prototypical argumentative patterns employed in situations where patient distrust arises in China.Based on the quantitative analysis of data from a general social survey,we focus on a distinctive phenomenon that while a majority of Chinese respondents trust the medical profession as a whole,significant distrust exists toward doctors'skills and ethics,particularly among older,urban,and higher income populations.Qualtatively,we employ Generalized Argumentation Theory to analyze Chinese clinical dialogues,identifying three kinds of prototypical argumentative patterns in situations of patient distrust.Methodologically,this article shows the value of combining statistical analysis with goal-oriented Generalized Argumentation research to reconcile the tricky trust phenomenon of Chinese doctor-patient communication.
文摘Physical restraint is one of the most controversial methods in managing aggressive behaviors and maintaining patients' safety. This manuscript purposed to convince stockholders and policymakers of the negative impact of physical restraint on patients' psychological and physical health. The current authors review the ethical and legal underpinnings of the opponents' and proponents' views. On one hand, there is a clear violation of the main principles of the code of ethics. Autonomy and justice;as the patients are tied against their will and without obtaining their consent, non-maleficent;as physical restraints are reported in many cases of physical and psychological traumas, thus many agencies prohibited the use of physical restraints as a safety method to be replaced with other deescalating techniques. On the other hand, physical restraints are a precious method in controlling aggressive behaviors and maintaining patients' safety, which is the selective beneficence in providing patient care. Also, most of the same agencies who prohibited the use of restraints, agreed the use of physical restraint as the last resor t.Summary statement What is already known about this topic?· Currently, physical restraint is used as the first accessible method to manage patients' behaviors, without considering the negative aura that surrounds the way of treatment. The usage of physical restraint has gone beyond the purpose of maintaining patient safety and managing aggressive behaviors to be a punishment method.· The Ethical and Legal context of using physical restraints is still vague and needs more clarification.What does this paper add?· This manuscript illustrates the Ethical and Legal points of view of the opponents and proponents of using physical restraints.· The current manuscript clearly justifies the authors' point of view to oppose physical restraints usage and how physical restraints violate the core principles of the code of ethics. In addition, it illustrates the legal agencies that suppor t/oppose the usage of physical restraint and the rationale beyond that position.· This manuscript provides alternatives to manage patients' aggressive behaviors and other ways to protect patients' safety as well as patient's dignity and code of ethics.The implications of this paper This argumentative essay provides an accessible, relevant exploration of public health policy, and its impact on nursing practice, mental health services, and patient health. Moreover, it provides a forum for mental health services to evaluate the current implications of physical restraints. The manuscript creates a paradigm for future studies and projects on physical restraints usage.
文摘This paper deals with numerical computation and analysis for the initial boundary problems of two dimensional(2D)Sobolev equations with piecewise continuous argument.Firstly,a two-level high-order compact difference method(HOCDM)with computational accuracy O(τ^(2)+h_(x)^(4)+h_(y)^(4))is suggested,whereτ,h_(x),h_(y) denote the temporal and spatial stepsizes of the method,respectively.In order to improve the temporal computational accuracy of this method,the Richardson extrapolation technique is used and thus a new two-level HOCDMis derived,which is proved to be convergent of order four both in time and space.Although the new two-level HOCDM has the higher computational accuracy in time than the previous one,it will bring a larger computational cost.To overcome this deficiency,a three-level HOCDM with computational accuracy O(τ^(4)+h_(x)^(4)+h_(y)^(4))is constructed.Finally,with a series of numerical experiments,the theoretical accuracy and computational efficiency of the above methods are further verified.
文摘Process-oriented writing is the main way for teachers to precisely control the problems and weak links presented by students in each writing stage.Therefore,it is possible to design teaching activities that are in line with their cognitive levels based on students’needs;promote writing through debate,attach importance to the high integration of reading,speaking,and writing;and strengthen the subjectivity of students in writing by taking interest as the lead and life as the source.
