Asymptotic behaviors of nonlinear neutral impulsive delay differential equations with forced term

Kodai Mathematical Journal

Jianhua Shen¹  Fangfang Jiang¹ 

[1]Department of Mathematics Hangzhou Normal University

关键词: Neutral impulsive delay differential equation;    asymptotic behavior;    forced term;    Liapunov functional;   

DOI  :  10.2996/kmj/1333027258

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(19)In this paper, we study the asymptotic behavior of solutions of a class of nonlinear neutral impulsive delay differential equations with forced term of the form$\left\{$ [x(t) + c(t)x(t − τ)]′ + p(t)f(x(t − δ)) = q(t),  t ≥ t0, t ≠ tk,x(tk) = bkx(tk−) + (1 − bk) ∫tktk−δ p(s + δ)f(x(s)) ds + (bk − 1) ∫∞tk q(s) ds,  k ∈ Z+.Sufficient conditions are obtained for every solution of the equations that tends to a constant as t → ∞.

【 授权许可】

Unknown