高阶非线性中立型泛函微分方程周期解的存在性

J4 ›› 2011, Vol. 46 ›› Issue (8): 47-51.

高阶非线性中立型泛函微分方程周期解的存在性

陈新一

西北民族大学中国民族信息技术研究院,甘肃兰州 730030

收稿日期:2010-09-08 出版日期:2011-08-20 发布日期:2011-09-08
作者简介:陈新一(1957- ),男,教授,研究方向为微分方程理论及应用.Email:cxyxbmd@sina.com

Existence of periodic solutions for higher order nonlinear neutral delay equations

CHEN Xin-yi

China Minorities Information Technology Institute, Northwest University for Nationalities, Lanzhou 730030, China

Received:2010-09-08 Online:2011-08-20 Published:2011-09-08

摘要/Abstract

摘要：

本文利用重合度理论,研究高阶非线性中立型泛函微分方程［x(t)+cx(t-τ)］⁽ⁿ⁾ +g(t,x(t-σ))=p(t)的周期解的存在性,给出该方程存在周期解的充分性定理,推广了已有的结果。

关键词: 中立型方程;非线性;周期解

Abstract:

The following nonlinear neutral delay equations ［x(t)+cx(t-τ)］⁽ⁿ⁾ +g(t,x(t-σ))=p(t) is discussed. By using the coincidence degree theory, a sufficient condition for the existence of periodic solution of the equation is given, which generalizes the known results.

Key words: neutral delay equation; nonlinear; periodic solution

陈新一. 高阶非线性中立型泛函微分方程周期解的存在性[J]. J4, 2011, 46(8): 47-51.

CHEN Xin-yi. Existence of periodic solutions for higher order nonlinear neutral delay equations[J]. J4, 2011, 46(8): 47-51.

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