Periodic Solutions of the Second-Order Neutral Functional Differential Systems with Operator Varying in Time and Delays

被引：0

作者：

Wang Z. ^{[1
,2
]}

Cao J. ^{[2
,3
]}

Lu S. ^{[4
,5
]}

机构：

[1] College Sci, Nanjing Univ. Posts and Telecommunications, Nanjing

[2] Research Center for Complex Systems and Network Sci. and Southeast Univ, Nanjing

[3] King Abdulaziz Univ, Jeddah

[4] College Math. and Statistics, Nanjing Univ. Information Sci. and Technology, Nanjing

[5] Anhui Normal Univ, Wuhu

来源：

Journal of Mathematical Sciences | 2015年 / 208卷 / 5期

基金：

中国国家自然科学基金;

关键词：

Periodic Solution; Difference Operator; Differential System; Fredholm Operator; Constant Matrix;

D O I：

10.1007/s10958-015-2464-8

中图分类号：

学科分类号：

摘要：

We study the existence of periodic solutions for second-order neutral functional differential systems with operator varying in time and delays. An interesting issue is that the coefficient matrix of the neutral difference operator is not a constant matrix, which contradicts the available literature data. Some properties of the neutral difference operator variable as a function of time and the results on the existence of periodic solutions of the second-order neutral functional differential systems are obtained. Moreover, numerical simulations are performed to illustrate the theoretical results. © 2015, Springer Science+Business Media New York.

引用

页码：498 / 519

页数：21

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