Periodic solutions of first-order nonlinear functional differential equations

被引：2

作者：

Tang, X. H. ^{[1
]}

Jiang, Zhiyuan ^{[1
]}

机构：

[1] Cent S Univ, Sch Math Sci & Comp Technol, Changsha 410083, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 68卷 / 04期

基金：

中国国家自然科学基金;

关键词：

functional differential equations; periodic solution; periodic perturbation;

D O I：

10.1016/j.na.2006.11.041

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain a set of "easily verifiable" sufficient conditions for the existence of the periodic Solutions of the first-order linear functional differential equations with periodic perturbation x'(t) = l(x)(t) + f(t, x(t)), where l : C(R) -> C(R) is a linear bounded operator. These conditions generalize and improve the known results given in the literature. (c) 2006 Elsevier Ltd. All rights reserved.

引用

页码：845 / 861

页数：17

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