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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2017-01-01
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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 |
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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. |
format | Article |
id | doaj-art-1bab822ef32d4df6bdf78c4db48249ab |
institution | Kabale University |
issn | 1687-9120 1687-9139 |
language | English |
publishDate | 2017-01-01 |
publisher | Wiley |
record_format | Article |
series | Advances in Mathematical Physics |
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 |