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
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.
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页码:498 / 519
页数:21
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