Periodic solutions of second-order neutral functional differential systems with time-varying operator and delays

This paper aims to investigate the existence of periodic solutions for second-order neutral functional differential systems with time-varying operator and delays. The interesting issue is that the coefficient matrix of the neutral difference operator is not a constant matrix, which is different from...

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Bibliographic Details
Date:2014
Main Authors: Zhengxin Wang, Shiping Lu, Jinde Cao
Format: Article
Language:English
Published: Інститут математики НАН України 2014
Series:Нелінійні коливання
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/175629
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Periodic solutions of second-order neutral functional differential systems with time-varying operator and delays / Zhengxin Wang, Shiping Lu, Jinde Cao // Нелінійні коливання. — 2014. — Т. 17, № 2. — С. 180-199. — Бібліогр.: 12 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:This paper aims to investigate the existence of periodic solutions for second-order neutral functional differential systems with time-varying operator and delays. The interesting issue is that the coefficient matrix of the neutral difference operator is not a constant matrix, which is different from the other literature. Some properties of the time-varying neutral difference operator and the results on the existence of periodic solutions of second-order neutral functional differential systems are obtained. Moreover, a numerical simulation is given to illustrate the theoretical results.