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EXACT CONTROLLABILITY AND CONTINUOUS DEPENDENCE OF FRACTIONAL NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY 被引量:17
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作者 马和平 刘斌 《Acta Mathematica Scientia》 SCIE CSCD 2017年第1期235-258,共24页
In the present paper,with the help of the resolvent operator and some analytic methods,the exact controllability and continuous dependence are investigated for a fractional neutral integro-differential equations with ... In the present paper,with the help of the resolvent operator and some analytic methods,the exact controllability and continuous dependence are investigated for a fractional neutral integro-differential equations with state-dependent delay.As an application,we also give one example to demonstrate our results. 展开更多
关键词 CONTROLLABILITY continuous dependence fractional neutral integro-differentialequations state-dependent delay resolvent operator
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Long-Time Behavior of Solution for Autonomous Suspension Bridge Equations with State-Dependent Delay
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作者 Suping Wang Qiaozhen Ma Xukui Shao 《Engineering(科研)》 2023年第10期632-646,共15页
This work is devoted to the following suspension bridge with state-dependent delay: . The main goal of this paper is to investigate the long-time behavior of the system. Under suitable hypothesis, the quasi-stability ... This work is devoted to the following suspension bridge with state-dependent delay: . The main goal of this paper is to investigate the long-time behavior of the system. Under suitable hypothesis, the quasi-stability estimates of the system are established, based on which the existence of global attractor with finite fractal dimension is obtained. Furthermore, the existence of exponential attractor is proved. 展开更多
关键词 Suspension Bridge Equation state-dependent delay Global Attractor Exponential Attractor Quasi-Stability
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Modeling and analysis of a predator-prey model with state-dependent delay 被引量:1
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作者 Yunfei Lv Yongzhen Pei Rong Yuan 《International Journal of Biomathematics》 SCIE 2018年第2期241-262,共22页
We propose and study a predator prey model with state-dependent delay where the prey population is assumed to have an age structure. The state-dependent delay appears due to the mature condition that the prey must spe... We propose and study a predator prey model with state-dependent delay where the prey population is assumed to have an age structure. The state-dependent delay appears due to the mature condition that the prey must spend an amount of time in the immature stage sufficient to accumulate a threshold amount of food. We perform a qualitative analysis of the solutions, which includes studying positivity and boundedness, existence and local stability of equilibria. For the global dynamics of the system, we discuss an attracting region which is determined by solutions, and the region collapses to the interior equilibrium in the constant delay case. 展开更多
关键词 Mature condition state-dependent delay predator-prey model BOUNDEDNESS STABILITY persistence.
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POSITIVE PERIODIC SOLUTION FOR A CLASS OF DIFFERENTIAL EQUATION WITH STATE-DEPENDENT DELAYS 被引量:1
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作者 Han Fei Wang Quanyi 《Annals of Differential Equations》 2005年第3期290-293,共4页
By utilizing the Krasnoselskii's fixed point theorem in cones we obtain some sufficient conditions which guarantee the existence of positive periodic solution for a class of differential equations with state-dependen... By utilizing the Krasnoselskii's fixed point theorem in cones we obtain some sufficient conditions which guarantee the existence of positive periodic solution for a class of differential equations with state-dependent delays. The results in the papers [1,2] have been improved. 展开更多
关键词 positive periodic solution fixed point in cones state-dependent delay
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Approximate Controllability of Neutral Functional Differential Systems with State-Dependent Delay 被引量:1
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作者 Xianlong FU Jialin ZHANG 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2016年第2期291-308,共18页
This paper deals with the approximate controllability of semilinear neutral functional differential systems with state-dependent delay. The fractional power theory and α-norm are used to discuss the problem so that t... This paper deals with the approximate controllability of semilinear neutral functional differential systems with state-dependent delay. The fractional power theory and α-norm are used to discuss the problem so that the obtained results can apply to the systems involving derivatives of spatial variables. By methods of functional analysis and semigroup theory, sufficient conditions of approximate controllability are formulated and proved. Finally, an example is provided to illustrate the applications of the obtained results. 展开更多
关键词 Approximate controllability Neutral functional differential system state-dependent delay Analytic semigroup Fractional power operator
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EXISTENCE RESULTS FOR IMPULSIVE NEUTRAL EVOLUTION DIFFERENTIAL EQUATIONS WITH STATE-DEPENDENT DELAY
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作者 Wensheng Li(Dept. of Basic Courses,Xi’an Aerotechnical College,Xi’an 710077) Yongkui Chang(Dept. of Math.,Lanzhou Jiaotong University,Lanzhou 730070) 《Annals of Differential Equations》 2011年第1期36-47,共12页
This paper is mainly concerned with the existence of mild solutions to a first order impulsive neutral evolution differential equations with state-dependent delay. By suitable fixed point theorems combined with theori... This paper is mainly concerned with the existence of mild solutions to a first order impulsive neutral evolution differential equations with state-dependent delay. By suitable fixed point theorems combined with theories of evolution systems,we prove some existence theorems. As an application,an example is also given to illustrate the obtained results. 展开更多
关键词 impulsive differential equations neutral evolution differential equations state-dependent delay evolution systems
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DEEP NEURAL NETWORKS COMBINING MULTI-TASK LEARNING FOR SOLVING DELAY INTEGRO-DIFFERENTIAL EQUATIONS 被引量:1
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作者 WANG Chen-yao SHI Feng 《数学杂志》 2025年第1期13-38,共26页
Deep neural networks(DNNs)are effective in solving both forward and inverse problems for nonlinear partial differential equations(PDEs).However,conventional DNNs are not effective in handling problems such as delay di... Deep neural networks(DNNs)are effective in solving both forward and inverse problems for nonlinear partial differential equations(PDEs).However,conventional DNNs are not effective in handling problems such as delay differential equations(DDEs)and delay integrodifferential equations(DIDEs)with constant delays,primarily due to their low regularity at delayinduced breaking points.In this paper,a DNN method that combines multi-task learning(MTL)which is proposed to solve both the forward and inverse problems of DIDEs.The core idea of this approach is to divide the original equation into multiple tasks based on the delay,using auxiliary outputs to represent the integral terms,followed by the use of MTL to seamlessly incorporate the properties at the breaking points into the loss function.Furthermore,given the increased training dificulty associated with multiple tasks and outputs,we employ a sequential training scheme to reduce training complexity and provide reference solutions for subsequent tasks.This approach significantly enhances the approximation accuracy of solving DIDEs with DNNs,as demonstrated by comparisons with traditional DNN methods.We validate the effectiveness of this method through several numerical experiments,test various parameter sharing structures in MTL and compare the testing results of these structures.Finally,this method is implemented to solve the inverse problem of nonlinear DIDE and the results show that the unknown parameters of DIDE can be discovered with sparse or noisy data. 展开更多
关键词 delay integro-differential equation Multi-task learning parameter sharing structure deep neural network sequential training scheme
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Discontinuous event-trigger scheme for global stabilization of state-dependent switching neural networks with communication delay
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作者 Yingjie Fan Zhen Wang +1 位作者 Jianwei Xia Hao Shen 《Chinese Physics B》 SCIE EI CAS CSCD 2021年第3期119-128,共10页
This paper is concerned with the global stabilization of state-dependent switching neural networks(SDSNNs)viadiscontinuous event-triggered control with network-induced communication delay.Aiming at decreasing triggeri... This paper is concerned with the global stabilization of state-dependent switching neural networks(SDSNNs)viadiscontinuous event-triggered control with network-induced communication delay.Aiming at decreasing triggering times,a discontinuous event-trigger scheme is utilized to determine whether the sampling information is required to be sent outor not.Meanwhile,under the effect of communication delay,the trigger condition and SDSNNs are transformed into twotractable models by designing a fictitious delay function.Then,using the Lyapunov–Krasovskii stability theory,someinequality estimation techniques,and extended reciprocally convex combination method,two sufficient criteria are established for ensuring the global stabilization of the resulting closed-loop SDSNNs,respectively.A unified framework isderived that has the ability to handle the simultaneous existence of the communication delay,the properties of discontinuousevent-trigger scheme,as well as feedback controller design.Additionally,the developed results demonstrate a quantitativerelationship among the event trigger parameter,communication delay,and triggering times.Finally,two numerical examples are presented to illustrate the usefulness of the developed stabilization scheme. 展开更多
关键词 global stabilization state-dependent switching neural networks discontinuous event-trigger scheme communication delay
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Integrated Optical True Time Delay Phased Array Antenna Systems 被引量:1
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作者 Qi Zihang Yang Linhui +1 位作者 Zhao Wenyu Li Xiuping 《China Communications》 2025年第5期152-172,共21页
The integrated optical true time delay phased array antenna system has the advantages of high bandwidth,small size,low loss and strong antiinterference capability,etc.The high integration of the optically controlled p... The integrated optical true time delay phased array antenna system has the advantages of high bandwidth,small size,low loss and strong antiinterference capability,etc.The high integration of the optically controlled phased array antenna system is a necessary trend for the future development of the phased array,and it is also a major focus and difficulty in the current research of integrated microwave photonics.This paper firstly introduces the basic principle and development history of optical true time delay phased array antenna system based on microwave photonics,and briefly introduces the main implementation methods and integration platform of optical true time delay.Then,the application and development prospect of optical true time delay technology in beam control of phased array antenna system are mainly presented.Finally,according to the current research progress,the possible research directions of integrated optically controlled phased array antenna systems in the future are proposed. 展开更多
关键词 microwave photonics optical switch optical true time delay phased array antenna siliconbased integration
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Periodic Traveling Wave Solutions of a Single Population Model with Advection and Distributed Delay
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作者 GUO Zilin YU Tao TANG Xiaosong 《应用数学》 北大核心 2025年第4期988-995,共8页
In this paper,we investigate the periodic traveling wave solutions problem for a single population model with advection and distributed delay.By the bifurcation analysis method,we can obtain periodic traveling wave so... In this paper,we investigate the periodic traveling wave solutions problem for a single population model with advection and distributed delay.By the bifurcation analysis method,we can obtain periodic traveling wave solutions for this model under the influence of advection term and distributed delay.The obtained results indicate that weak kernel and strong kernel can both deduce the existence of periodic traveling wave solutions.Finally,we apply the main results in this paper to Logistic model and Nicholson’s blowflies model. 展开更多
关键词 Single population model Advection Distributed delay Periodic traveling wave solution
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Stability of Delayed Switched Systems With State-Dependent Switching
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作者 Chao Liu Zheng Yang +1 位作者 Xiaoyang Liu Xianying Huang 《IEEE/CAA Journal of Automatica Sinica》 SCIE EI CSCD 2020年第3期872-881,共10页
This paper investigates the stability of switched systems with time-varying delay and all unstable subsystems. According to the stable convex combination, we design a state-dependent switching rule. By employing Wirti... This paper investigates the stability of switched systems with time-varying delay and all unstable subsystems. According to the stable convex combination, we design a state-dependent switching rule. By employing Wirtinger integral inequality and Leibniz-Newton formula, the stability results of nonlinear delayed switched systems whose nonlinear terms satisfy Lipschitz condition under the designed state-dependent switching rule are established for different assumptions on time delay. Moreover,some new stability results for linear delayed switched systems are also presented. The effectiveness of the proposed results is validated by three typical numerical examples. 展开更多
关键词 STABILITY statedependent switching switched system time delay
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Effects of potential field delay and coupling delay on collective behavior of a fractional-order coupled system in a dichotomous fluctuating potential
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作者 Yangfan Zhong Xi Chen +1 位作者 Maokang Luo Tao Yu 《Chinese Physics B》 2025年第5期270-287,共18页
The collective dynamic of a fractional-order globally coupled system with time delays and fluctuating frequency is investigated.The power-law memory of the system is characterized using the Caputo fractional derivativ... The collective dynamic of a fractional-order globally coupled system with time delays and fluctuating frequency is investigated.The power-law memory of the system is characterized using the Caputo fractional derivative operator.Additionally,time delays in the potential field force and coupling force transmission are both considered.Firstly,based on the delay decoupling formula,combined with statistical mean method and the fractional-order Shapiro–Loginov formula,the“statistic synchronization”among particles is obtained,revealing the statistical equivalence between the mean field behavior of the system and the behavior of individual particles.Due to the existence of the coupling delay,the impact of the coupling force on synchronization exhibits non-monotonic,which is different from the previous monotonic effects.Then,two kinds of theoretical expression of output amplitude gains G and G are derived by time-delay decoupling formula and small delay approximation theorem,respectively.Compared to G,G is an exact theoretical solution,which means that G is not only more accurate in the region of small delay,but also applies to the region of large delay.Finally,the study of the output amplitude gain G and its resonance behavior are explored.Due to the presence of the potential field delay,a new resonance phenomenon termed“periodic resonance”is discovered,which arises from the periodic matching between the potential field delay and the driving frequency.This resonance phenomenon is analyzed qualitatively and quantitatively,uncovering undiscovered characteristics in previous studies. 展开更多
关键词 potential field delay coupling delay FRACTIONAL-ORDER collective behavior
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Effect of retinoic acid on delayed encephalopathy after acute carbon monoxide poisoning:Role of the lncRNA SNHG15/LINGO-1/BDNF/TrkB axis
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作者 HUANG Fangling WANG Su’e +2 位作者 PENG Zhengrong HUANG Xu BAI Sufen 《中南大学学报(医学版)》 北大核心 2025年第6期955-969,共15页
Objective:The neurotoxicity of carbon monoxide(CO)to the central nervous system is a key pathogenesis of delayed encephalopathy after acute carbon monoxide poisoning(DEACMP).Our previous study found that retinoic acid... Objective:The neurotoxicity of carbon monoxide(CO)to the central nervous system is a key pathogenesis of delayed encephalopathy after acute carbon monoxide poisoning(DEACMP).Our previous study found that retinoic acid(RA)can suppress the neurotoxic effects of CO.This study further explores,in vivo and in vitro,the molecular mechanisms by which RA alleviates CO-induced central nervous system damage.Methods:A cytotoxic model was established using the mouse hippocampal neuronal cell line HT22 and primary oligodendrocytes exposed to CO,and a DEACMP animal model was established in adult Kunming mice.Cell viability and apoptosis of hippocampal neurons and oligodendrocytes were assessed using the 3-(4,5-dimethylthiazol-2-yl)-2,5-diphenyltetrazolium bromide(MTT)assay and Annexin V/propidium iodide(PI)double staining.The transcriptional and protein expression of each gene was detected using real time fluorescence quantitative PCR(RT-qPCR)and Western blotting.Long noncoding RNA(lncRNA)SNHG15 and LINGO-1 were knocked down or overexpressed to observe changes in neurons and oligodendrocytes.In DEACMP mice,SNHG15 or LINGO-1 were knocked down to assess changes in central nervous tissue and downstream protein expression.Results:RA at 10 and 20μmol/L significantly reversed CO-induced apoptosis of hippocampal neurons and oligodendrocytes,downregulation of SNHG15 and LINGO-1,and upregulation of brain-derived neurotrophic factor(BDNF)and tyrosine kinase receptor B(TrkB)(all P<0.05).Overexpression of SNHG15 or LINGO-1 weakened the protective effect of RA against CO-induced cytotoxicity(all P<0.05).Knockdown of SNHG15 or LINGO-1 alleviated CO-induced apoptosis of hippocampal neurons and oligodendrocytes and upregulated BDNF and TrkB expression levels(all P<0.05).Experiments in DEACMP model mice showed that knockdown of SNHG15 or LINGO-1 mitigated central nervous system injury in DEACMP(all P<0.05).Conclusion:RA alleviates CO-induced apoptosis of hippocampal neurons and oligodendrocytes,thereby reducing central nervous system injury and exerting neuroprotective effects.LncRNA SNHG15 and LINGO-1 are key molecules mediating RA induced inhibition of neuronal apoptosis and are associated with the BDNF/TrkB pathway.These findings provide a theoretical framework for optimizing the clinical treatment of DEACMP and lay an experimental foundation for elucidating its molecular mechanisms. 展开更多
关键词 delayed encephalopathy after acute carbon monoxide poisoning apoptosis retinoic acid NEUROPROTECTION LINGO-1 lncRNA SNHG15
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Optimization of reheating furnace rolling delay strategies based on a minimum energy consumption principle
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作者 Jing-qi Qiu Jun-xiao Feng +1 位作者 Xian-mo Huang Zhi-feng Huang 《Journal of Iron and Steel Research International》 2025年第3期707-719,共13页
To provide an energy-efficient and slab-demand-compliant rolling delay strategy,the simulation software is utilized to calculate the rolling delay process of the reheating furnace.Based on energy consumption evaluatio... To provide an energy-efficient and slab-demand-compliant rolling delay strategy,the simulation software is utilized to calculate the rolling delay process of the reheating furnace.Based on energy consumption evaluation,two optimization methods were employed.The bisection approach uses the needs of the slab to estimate the rolling delay temperature,and the golden section search method uses the energy consumption analysis of the slab to determine the high-temperature insulation duration.Generally,the slab closest to the discharge position in the control zone is selected as the optimization target.The optimized slab does not show a significant temperature rise after the end of the rolling delay process.When comparing the optimized rolling delay strategies with the traditional ones,the optimized rolling delay strategies not only meet the output requirements for slabs but also offer significant advantages in terms of energy efficiency,and this advantage increases with rolling delay time. 展开更多
关键词 Rolling delay strategy Rolling delay process Bisection method Golden section search method Energy consumption analysis
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Compact Ultra-Low Loss Optical True Delay Line on Thin Film Lithium Niobate
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作者 Yuan Ren Bo-Yang Nan +6 位作者 Rong-Bo Wu Yong Zheng Rui-Xue Liu Xue-Wen Wang Yun-Peng Song Min Wang Ya Cheng 《Chinese Physics Letters》 2025年第7期145-149,共5页
We report the fabrication of an 8-meter-long thin-flm lithium niobate optical true delay line using the photolithography-assisted chemomechanical etching technique,showing a low transmission loss of 0.036 dB/cm in the... We report the fabrication of an 8-meter-long thin-flm lithium niobate optical true delay line using the photolithography-assisted chemomechanical etching technique,showing a low transmission loss of 0.036 dB/cm in the conventional telecom band. 展开更多
关键词 conventional telecom band COMPACT transmission loss optical true delay line true delay line thin film ultra low loss lithium niobate
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The Global Attractor of 2D g-Navier- Stokes Equations with Damping and Delay
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作者 WANG Xiaoxia JIANG Jinping ZHANG Fukun 《Wuhan University Journal of Natural Sciences》 2025年第3期269-275,共7页
In this article,the global attractors of 2D g-Navier-Stokes equations are obtained in the space of C_(Hg) and CVg respectively.When the external force f is sufficiently small,the studies indicate that the global attra... In this article,the global attractors of 2D g-Navier-Stokes equations are obtained in the space of C_(Hg) and CVg respectively.When the external force f is sufficiently small,the studies indicate that the global attractor in C_(Hg) is equal to the global attractor in C_(Vg). 展开更多
关键词 global attractor g-Navier-Stokes equation DAMPING delay
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Continuously Tunable Thin-Film Lithium Niobate Optical Delay Line with 293 ps Tuning Range
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作者 Lv-Bin Song Yong Zheng +8 位作者 Yuan Ren Bo-Yang Nan Rui-Xue Liu Hao-Zong Zhong Lin Li Min Wang Jin-Ming Chen Rong-Bo Wu Ya Cheng 《Chinese Physics Letters》 2025年第9期62-67,共6页
We present a compact optical delay line(ODL)with wide-range continuous tunability on thin-film lithium niobate platform.The proposed device integrates an unbalanced Mach-Zehnder interferometer(MZI)architecture with du... We present a compact optical delay line(ODL)with wide-range continuous tunability on thin-film lithium niobate platform.The proposed device integrates an unbalanced Mach-Zehnder interferometer(MZI)architecture with dual tunable couplers,where each coupler comprises two 2×2 multimode interferometers and a MZI phase-tuning section.Experimental results demonstrate continuous delay tuning from 0 to 293 ps through synchronized control of coupling coefficients,corresponding to a 4 cm path difference between interferometer arms.The measured delay range exhibits excellent agreement with theoretical predictions derived from ODL waveguide parameters.This result addresses critical challenges in integrated photonic systems that require precise temporal control,particularly for applications in optical communications and quantum information processing,where a wide tuning range is paramount. 展开更多
关键词 continuous tunable thin film lithium niobate optical delay line wide range continuous tunability delay tuning optical delay line odl unbalanced Mach Zehnder interferometer synchronized control coupling coefficientscorresponding dual tunable couplers cm path difference interfe
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Impact of low vision and blindness on characteristics of developmental delay in children younger than 6 years
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作者 Prakasit Wannapaschaiyong Suksri Chotikavanich +12 位作者 Sureelak Sutchritpongsa Pat Rojmahamonkol Amornrat Penphattarakul Piangporn Saksiriwutto Akarawit Eiamsamarng Simaporn Setthawong Theerajate Phongsuphan Piyaphat Jaruniphakul Rungtip Yingyong Nattapon Sarinak Ekpipat Eksupapan Saranya Sagan Pridaporn Onlamul 《World Journal of Clinical Pediatrics》 2025年第4期304-314,共11页
BACKGROUND Visual impairment during early childhood can hinder motor,language,and social development,yet data on its developmental impact across common pediatric ocular diseases remain limited.AIM To investigate the d... BACKGROUND Visual impairment during early childhood can hinder motor,language,and social development,yet data on its developmental impact across common pediatric ocular diseases remain limited.AIM To investigate the developmental impact of low vision and blindness on children under six with common ocular diseases.METHODS This retrospective study reviewed records of new patients under six with visual impairment at Siriraj Hospital’s low vision rehabilitation center(January 2017-October 2022).We collected ocular,systemic,and developmental data;recorded visual acuity in the better-seeing eye after refractive correction;and assessed developmental domains with the DenverⅡ.Univariable and multi-variable logistic regression identified factors associated with developmental delay.RESULTS A total of 161 pediatric patients(mean age 24.9±18.9 months)were enrolled and evaluated based on their ability to fix on and follow an object or light source.Some were further assessed using the Allen picture chart and all had visual acuity worse than 1.07±0.58 LogMAR,and 83.2%were identified as having global developmental delay(GDD).The three most common ocular causes were cortical visual impairment(CVI),optic neuropathy/atrophy,and optic nerve hypoplasia.Extremely poor visual acuity(inability to fixate and follow)was significantly associated with GDD[adjusted odds ratio(AOR)41.0]and delays in all developmental domains:Gross motor(AOR 10.0),fine motor(AOR 12.8),language(AOR 5.3),and personal-social skills(AOR 13.4)(P≤0.002).Multiple disabilities,most often visual impairment with cerebral palsy,were also significantly associated with gross motor delays(AOR 7.7)and fine motor delays(AOR 4.0)(P<0.05).CVI was also related to delays in language and personal-social skills(AOR 9.1 each)(P<0.05).CONCLUSION This study underscores the developmental issues in children with visual impairment,especially those with poorer acuity,CVI,and multiple disabilities.Significant delays were observed in all domains,including GDD.A timely referral to specialists is strongly recommended. 展开更多
关键词 CHILDREN Developmental delay Low vision Thailand Visual impairment
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A trace formula for the vector Sturm-Liouville operator with a constant delay
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作者 LI Dan YANG Chuan-fu 《Applied Mathematics(A Journal of Chinese Universities)》 2025年第1期213-222,共10页
In this work,the vector differential operator with a delay variable is studied and the regularized trace formula of the operator is obtained.
关键词 vector differential operator constant delay TRACE
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Delay-Calibrated Compressed Sensing for MIMO-OFDM Channel Estimation with Inter-Cell Interference
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作者 Ou Zhihao Jiang Wenjun +2 位作者 Yuan Xiaojun Wang Li Zuo Yong 《China Communications》 2025年第8期102-113,共12页
This paper considers the fundamental channel estimation problem for the multiple-input multiple-output orthogonal frequency division multiplexing(MIMO-OFDM)system in the presence of multi-cell interference.Specificall... This paper considers the fundamental channel estimation problem for the multiple-input multiple-output orthogonal frequency division multiplexing(MIMO-OFDM)system in the presence of multi-cell interference.Specifically,this paper focuses on both channel modelling and receiver design for interference estimation and mitigation.We propose a delay-calibrated block-wise linear model,which extracts the delay of the dominant tap of each interference as a key parameter and approximates the residual channel coefficients by the recently developed blockwise linear model.Based on the delay-calibrated block-wise linear model and the angle-domain channel sparsity,we further conceive a message passing algorithm to solve the channel estimation problem.Numerical results demonstrate the superior performance of the proposed algorithm over the state-of-the-art algorithms. 展开更多
关键词 channel estimation compressed sensing delay calibration inter-cell interference
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