Asymptotic Behavior of Forced Nonlinear Delay Differential Equations with Impulses
Asymptotic Behavior of Forced Nonlinear Delay Differential Equations with Impulses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].