二阶非线性脉冲时滞微分方程的渐近性  

Asymptotic behavior of a class of second order nonlinear impulsive delay differential equation

作　　者：杜珺[1] 

机构地区：[1]淮南师范学院数学与计算科学系,安徽淮南232038

出　　处：《淮南师范学院学报》2012年第3期4-7,共4页Journal of Huainan Normal University

基　　金：安徽省高校省级自然科学研究项目(KJ2010B199)

摘　　要：利用数学分析的技巧得出了两个引理,利用引理研究了二阶非线性脉冲时滞微分方程解的渐近形态,得到了当t→+∞时,方程的所有非振动解都趋于零的条件。In this paper, two lemmas are given by mathematic analysis technique and so asymptotic behavior of solutions of a kind of second order nonlinear functional differential equation with impulses is studied,sufficient conditions of the equation are obtained to guarantee that the nonoscillatory solutions cantend to zero as t tend to＋∞.

关 键 词：脉冲 时滞 渐近性 非振动解 

分 类 号：O175[理学—数学]