具无穷时滞退化中立型微分系统的周期解

数学季刊 ›› 2011, Vol. 26 ›› Issue (1): 56-60.

具无穷时滞退化中立型微分系统的周期解

1. School of Mathematical Science, Anhui University2. School of Mathematics and Computational Science, Anqing Teachers College

收稿日期:2008-04-22 出版日期:2011-03-30 发布日期:2023-05-10
作者简介:ZHOU Gui-fang(1985- ), female, native of Ningguo, Anhui, Ph.D., engages in functional diﬀerential equations and its applications.
基金资助:
Supported by the National Nature Science Foundation of China(10771001)； Supported by the Key Program of Ministry of Education of China(205068),Supported by the Foundation of Education Department of Anhui province(KJ2008B152)； Supported by the Foundation of Innovation Team of Anhui University；

Periodic Solutions of Singular Neutral Diﬀerential Systems with Inﬁnite Delay

1. School of Mathematical Science, Anhui University2. School of Mathematics and Computational Science, Anqing Teachers College

Received:2008-04-22 Online:2011-03-30 Published:2023-05-10
About author:ZHOU Gui-fang(1985- ), female, native of Ningguo, Anhui, Ph.D., engages in functional diﬀerential equations and its applications.
Supported by:
Supported by the National Nature Science Foundation of China(10771001)； Supported by the Key Program of Ministry of Education of China(205068),Supported by the Foundation of Education Department of Anhui province(KJ2008B152)； Supported by the Foundation of Innovation Team of Anhui University；

摘要/Abstract

摘要： In this paper, we discuss the periodic solutions of the nonlinear singular neutral differential systems with infinite delay. By using matrix measure and Krasnoselskii’s fixed point theorem, we obtained the sufficient conditions of the existence of periodic solutions.

关键词: infinite delay, degenerate differential systems, periodic solutions, Krasnoselskii’s
?xed point theorem

Abstract: In this paper, we discuss the periodic solutions of the nonlinear singular neutral differential systems with infinite delay. By using matrix measure and Krasnoselskii’s fixed point theorem, we obtained the sufficient conditions of the existence of periodic solutions.

Key words: infinite delay, degenerate differential systems, periodic solutions, Krasnoselskii’s
?xed point theorem

中图分类号:

O175

周桂芳, 张海, 蒋威. 具无穷时滞退化中立型微分系统的周期解[J]. 数学季刊, 2011, 26(1): 56-60.

ZHOU Gui-fang, ZHANG Hai, JIANG Wei. Periodic Solutions of Singular Neutral Diﬀerential Systems with Inﬁnite Delay [J]. Chinese Quarterly Journal of Mathematics, 2011, 26(1): 56-60.

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