Existence and Uniqueness of Periodic Solutions for a Kind of Second-Order Neutral Functional Differential Equation with Delays

We consider a kind of second-order neutral functional differential equation. On the basis of Mawhin’s coincidence degree, the existence and uniqueness of periodic solutions are proved. It is indicated that the result is related to the deviating arguments. Moreover, we present two simulations to demo...

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Main Author: Na Wang
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2017/9591087
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author Na Wang
author_facet Na Wang
author_sort Na Wang
collection DOAJ
description We consider a kind of second-order neutral functional differential equation. On the basis of Mawhin’s coincidence degree, the existence and uniqueness of periodic solutions are proved. It is indicated that the result is related to the deviating arguments. Moreover, we present two simulations to demonstrate the validity of analytical conclusion.
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institution Kabale University
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publishDate 2017-01-01
publisher Wiley
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spelling doaj-art-1bab822ef32d4df6bdf78c4db48249ab2025-02-03T05:52:50ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/95910879591087Existence and Uniqueness of Periodic Solutions for a Kind of Second-Order Neutral Functional Differential Equation with DelaysNa Wang0Department of Applied Mathematics, Shanghai Institute of Technology, Shanghai 201418, ChinaWe consider a kind of second-order neutral functional differential equation. On the basis of Mawhin’s coincidence degree, the existence and uniqueness of periodic solutions are proved. It is indicated that the result is related to the deviating arguments. Moreover, we present two simulations to demonstrate the validity of analytical conclusion.http://dx.doi.org/10.1155/2017/9591087
spellingShingle Na Wang
Existence and Uniqueness of Periodic Solutions for a Kind of Second-Order Neutral Functional Differential Equation with Delays
Advances in Mathematical Physics
title Existence and Uniqueness of Periodic Solutions for a Kind of Second-Order Neutral Functional Differential Equation with Delays
title_full Existence and Uniqueness of Periodic Solutions for a Kind of Second-Order Neutral Functional Differential Equation with Delays
title_fullStr Existence and Uniqueness of Periodic Solutions for a Kind of Second-Order Neutral Functional Differential Equation with Delays
title_full_unstemmed Existence and Uniqueness of Periodic Solutions for a Kind of Second-Order Neutral Functional Differential Equation with Delays
title_short Existence and Uniqueness of Periodic Solutions for a Kind of Second-Order Neutral Functional Differential Equation with Delays
title_sort existence and uniqueness of periodic solutions for a kind of second order neutral functional differential equation with delays
url http://dx.doi.org/10.1155/2017/9591087
work_keys_str_mv AT nawang existenceanduniquenessofperiodicsolutionsforakindofsecondorderneutralfunctionaldifferentialequationwithdelays