一类非线性脉冲泛函微分方程解的渐近性

冯海星Si Yang Chen

数学学报 ›› 2008, Vol. 51 ›› Issue (6) : 1237-124.

数学学报 ›› 2008, Vol. 51 ›› Issue (6) : 1237-124. DOI: 10.12386/A2008sxxb0144
论文

一类非线性脉冲泛函微分方程解的渐近性

    冯海星Si Yang Chen
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The Asymptoticy of Solution Property of Nonlinear Impulsive Functional Differential Equations

    Hai Xing FENGSi Yang Chen
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摘要

利用构造Lyapunov泛函方法讨论了一类具有正负系数的非线性脉冲泛函微分方程解的渐近性,给出方程的解趋于一个正常数的充分条件, 并举例说明定理条件和结论的可实现性.

Abstract

In this paper, the asymptotic Property of solutions of nonlinear impulsive functional differential equations with positive and negative coefficients is discussed by using Lyapunov functional. The sufficient conditions are obtained for every solution of equation tending to a constant.Meanwhile the examples ase givern to illustrate the usefulness of the theorem.

关键词

脉冲 / 时滞微分方程 / 渐近性 / Lyapunov泛函

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冯海星Si Yang Chen. 一类非线性脉冲泛函微分方程解的渐近性. 数学学报, 2008, 51(6): 1237-124 https://doi.org/10.12386/A2008sxxb0144
Hai Xing FENGSi Yang Chen. The Asymptoticy of Solution Property of Nonlinear Impulsive Functional Differential Equations. Acta Mathematica Sinica, Chinese Series, 2008, 51(6): 1237-124 https://doi.org/10.12386/A2008sxxb0144

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