带可积时滞的非线性中立型微分方程周期解的存在性

doi:10.3969/j.issn.1007-7162.2014.04.012

广东工业大学学报 ›› 2014, Vol. 31 ›› Issue (4): 65-68.doi: 10.3969/j.issn.1007-7162.2014.04.012

带可积时滞的非线性中立型微分方程周期解的存在性

黄明辉

广东工业大学应用数学学院，广东广州 510520

收稿日期:2013-04-24 出版日期:2014-12-28 发布日期:2014-12-28
作者简介:黄明辉（1988-），男，硕士研究生，主要研究方向为微分动力系统.
基金资助:
国家自然科学青年科学基金资助项目（31100308）

Existence of Periodic Solutions for Nonlinear Neutral Differential Equations with Functional Delay

Huang Ming-hui

School of Applied Mathematics, Guangdong University of Technology, Guangzhou 510520, China

Received:2013-04-24 Online:2014-12-28 Published:2014-12-28

摘要/Abstract

摘要： 采用Krasnoselskii不动点定理证明了带可积时滞的非线性中立型微分方程周期解的存在性.并推广了Dib和Maroun的结论.

关键词: 周期解;不动点;非线性

Abstract: It used a variant of Krasnoselskii’s fixed point theorem to show the existence of periodic solutions for nonlinear neutral differential equations with functional delay. The results were obtained by generalizing previous results of Dib and Maroun. An example was given to illustrate the results.

Key words: periodic solution; fixed point; nonlinear

黄明辉. 带可积时滞的非线性中立型微分方程周期解的存在性[J]. 广东工业大学学报, 2014, 31(4): 65-68.

HUANG Ming-Hui. Existence of Periodic Solutions for Nonlinear Neutral Differential Equations with Functional Delay[J]. Journal of Guangdong University of Technology, 2014, 31(4): 65-68.

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带可积时滞的非线性中立型微分方程周期解的存在性

Existence of Periodic Solutions for Nonlinear Neutral Differential Equations with Functional Delay

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