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Asymptotic Behavior of Forced Nonlinear Delay Differential Equations with Impulses

Asymptotic Behavior of Forced Nonlinear Delay Differential Equations with Impulses

作     者:Jiaowan Luo Institute of Sciences. Changsha Railway University. Changsha 410075. P. R. China Jianhua Shen Department of Mathematics. Hunan Normal University. Changsha 410081. P. R. China 

作者机构:Institute of Sciences Changsha Railway University Changsha 410075 P. R. China Department of Mathematics Hunan Normal University Changsha 410081 P. R. China 

出 版 物:《Acta Mathematica Sinica,English Series》 (数学学报(英文版))

年 卷 期:2000年第16卷第4期

页      面:565-572页

核心收录:

学科分类:07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基  金:This work is supported by the NNSF of China and the NSF of Hunan Province 

主  题:Asymptotic behavior Delay differential equation Impulsive perturbation 

摘      要:The purpose of this paper is to investigate the asymptotic behavior of solutions of the forced nonlinear delay differential equations with impulses x’(t)+sum from i=1 to n(p_i(t)f(x(t-т_i))=h(t)). t≠t_k, x(t_k^+)-x(t_k)=b_kx(t_k). Our results. which hold for linear and nonlinear equations, forced and unforced equations, impulsive and nonimpulsive equations. improve and generalize the known results recently obtained in [8].

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