一类带分布时滞和离散时滞中立型泛函微分方程的周期解

数学季刊 ›› 2012, Vol. 27 ›› Issue (4): 485-494.

一类带分布时滞和离散时滞中立型泛函微分方程的周期解

School of Mathematical Sciences, Anhui University

收稿日期:2010-11-30 出版日期:2012-12-30 发布日期:2023-03-14
作者简介:ZHOU Zong-fu(1964-), male, native of Hefei, Anhui, a professor of Anhui University, M.S.D., engages in functional differential equations(foundation mathematics); ZENG Li(1985-), male, native of Ganzhou, Jiangxi, M.S.D., engages in functional differential equations(foundation mathematics).
基金资助:
Supported by the National Natural Science Foundation of China(11071001)； Supported by the NSF of Education Bureau of Anhui Province(KJ2009A005Z,KJ2010ZD02,2010SQRL159)； Supported by the 211 Project of Anhui University(KJTD002B)； Supported by the Natural Science Foundation of Anhui Province(1208085MA13)

Periodic Solutions for a Class of Neutral Functional Differential Equations with Distributed and Discrete Delays

School of Mathematical Sciences, Anhui University

Received:2010-11-30 Online:2012-12-30 Published:2023-03-14
About author:ZHOU Zong-fu(1964-), male, native of Hefei, Anhui, a professor of Anhui University, M.S.D., engages in functional differential equations(foundation mathematics); ZENG Li(1985-), male, native of Ganzhou, Jiangxi, M.S.D., engages in functional differential equations(foundation mathematics).
Supported by:
Supported by the National Natural Science Foundation of China(11071001)； Supported by the NSF of Education Bureau of Anhui Province(KJ2009A005Z,KJ2010ZD02,2010SQRL159)； Supported by the 211 Project of Anhui University(KJTD002B)； Supported by the Natural Science Foundation of Anhui Province(1208085MA13)

摘要/Abstract

摘要： Based on Krasnoselskii’s fixed point theorem, matrix measure and functional analysis methods, some new sufficient conditions for the existence of periodic solutions of neutral functional differential equations with distributed and discrete delays are obtained. Moreover, we construct an example to illustrate the feasibility of our results.

关键词: neutral functional differential equation, infinite distributed delay, discrete delays, Krasnoselskii's fixed point theorem, periodic solutions

Abstract: Based on Krasnoselskii’s fixed point theorem, matrix measure and functional analysis methods, some new sufficient conditions for the existence of periodic solutions of neutral functional differential equations with distributed and discrete delays are obtained. Moreover, we construct an example to illustrate the feasibility of our results.

Key words: neutral functional differential equation, infinite distributed delay, discrete delays, Krasnoselskii's fixed point theorem, periodic solutions

中图分类号:

O175.6

周宗福, 曾力, 贾宝瑞, 徐建中. 一类带分布时滞和离散时滞中立型泛函微分方程的周期解[J]. 数学季刊, 2012, 27(4): 485-494.

ZHOU Zong-fu, ZENC Li, JIA Bao-rui, XU Jian-zhong. Periodic Solutions for a Class of Neutral Functional Differential Equations with Distributed and Discrete Delays[J]. Chinese Quarterly Journal of Mathematics, 2012, 27(4): 485-494.

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