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RAZUMIKHIN-TYPE THEOREMS FOR ASYMPTOTIC STABILITY OF IMPULSIVE STOCHASTIC FUNCTIONAL DIFFERENTIAL SYSTEMS 被引量:8
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作者 Pei CHENG~1 Feiqi DENG~2 Xisheng DAI~3 Systems Engineering Institute,South China University of Technology,Guangzhou 510640,China 《Journal of Systems Science and Systems Engineering》 SCIE EI CSCD 2010年第1期72-84,共13页
In this paper, we investigate the pth moment uniformly asymptotic stability of impulsive stochastic ftmctional differential systems by extending some Razumikhin-type theorems. Based on the Lyapunov functions and Razum... In this paper, we investigate the pth moment uniformly asymptotic stability of impulsive stochastic ftmctional differential systems by extending some Razumikhin-type theorems. Based on the Lyapunov functions and Razumikhin techniques, some criteria are established and their applications to impulsive stochastic delay systems are proposed. An illustrative example shows the effectiveness of our results. 展开更多
关键词 Stochastic functional differential systems IMPULSE Razumiltial theorems Asymptotic stability
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CONTROLLABILITY OF ABSTRACT RETARDED FUNCTIONAL DIFFERENTIAL SYSTEMS WITH INFINITE DELAY
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作者 Wang Lianglong (School of Math, and Computing Sci., Anhui University, Hefei 230039) Wang Zhicheng (College of Math, and Econometrics, Hunan University, Changsha 410082) 《Annals of Differential Equations》 2006年第3期364-369,共6页
This paper is concerned with the controllability of retarded functional differential systems with infinite delay in a general Banach space, via a fixed point approach. Sufficient conditions for controllability are est... This paper is concerned with the controllability of retarded functional differential systems with infinite delay in a general Banach space, via a fixed point approach. Sufficient conditions for controllability are established by using the Leray-Schauder alternative. An example is given to illustrate the results. 展开更多
关键词 CONTROLLABILITY retarded functional differential systems infinite delay phase spaces Schaefer fixed-point theorem
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EXISTENCE OF TWO PERIODIC SOLUTIONS TO n-DIMENSIONAL NEUTRAL FUNCTIONAL DIFFERENTIAL SYSTEM
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作者 Liujuan Chen (Dept. of Math. and Physics,Fujian Institute of Education,Fuzhou 350001) 《Annals of Differential Equations》 2009年第2期140-149,共10页
In this paper,some suffcient criteria for the existence and the multiplicity of positive periodic solutions to a class of first-order n-dimensional neutral functional differential system are established. Our main resu... In this paper,some suffcient criteria for the existence and the multiplicity of positive periodic solutions to a class of first-order n-dimensional neutral functional differential system are established. Our main results generalize related studies in the previous literatures. The fixed point theorem in cones is required to prove our results. 展开更多
关键词 neutral functional differential systems periodic solution MULTIPLICITY fixed point theorem
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Intelligent computing networks for nonlinear influenza-A epidemic model
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作者 Nabeela Anwar Muhammad Shoaib +3 位作者 Iftikhar Ahmad Shafaq Naz Adiqa Kausar Kiani Muhammad Asif Zahoor Raja 《International Journal of Biomathematics》 SCIE 2023年第4期125-154,共30页
The differential equations having delays take paramount interest in the research community due to their fundamental role to interpret and analyze the mathematical models arising in biological studies.This study deals ... The differential equations having delays take paramount interest in the research community due to their fundamental role to interpret and analyze the mathematical models arising in biological studies.This study deals with the exploitation of knack of artificial intelligence-based computing paradigm for numerical treatment of the functional delay differential systems that portray the dynamics of the nonlinear influenza-A epidemic model(IA-EM)by implementation of neural network backpropagation with Levenberg-Marquardt scheme(NNBLMS).The nonlinear IA-EM represented four classes of the population dynamics including susceptible,exposed,infectious and recovered individuals.The referenced datasets for NNBLMS are assembled by employing the Adams method for sufficient large number of scenarios of nonlinear IA-EM through the variation in the infection,turnover,disease associated death and recovery rates.The arbitrary selection of training,testing as well as validation samples of dataset are utilizing by designed NNBLMS to calculate the approximate numerical solutions of the nonlinear IA-EM develop a good agreement with the reference results.The proficiency,reliability and accuracy of the designed NNBLMS are further substantiated via exhaustive simulations-based outcomes in terms of mean square error,regression index and error histogram studies. 展开更多
关键词 functional delay differential systems nonlinear influenza-A epidemic model Adams method neural networks Levenberg-Marquardt scheme intelligent computing regression analysis
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