The Research of Periodic Solutions of Time-Varying Differential Models

The Research of Periodic Solutions of Time-Varying Differential Models

We have studied the periodicity of solutions of some nonlinear time-varying differential models by using the theory of reflecting functions. We have established a new relationship between the linear differential system and the Riccati equations and applied the obtained results to discuss the behavio...

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Main Authors: Wenjun Liu, Yingxin Pan, Zhengxin Zhou
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2014/430951
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spelling doaj-90d182a7357b49168c85a59777fa49fd2020-11-24T21:03:42ZengHindawi LimitedInternational Journal of Differential Equations1687-96431687-96512014-01-01201410.1155/2014/430951430951The Research of Periodic Solutions of Time-Varying Differential ModelsWenjun Liu0Yingxin Pan1Zhengxin Zhou2School of Mathematical Sciences, Yangzhou University, Yangzhou 225002, ChinaDepartment of Mathematics, Rugao Higher Normal School, Jiangsu, Rugao 226500, ChinaSchool of Mathematical Sciences, Yangzhou University, Yangzhou 225002, ChinaWe have studied the periodicity of solutions of some nonlinear time-varying differential models by using the theory of reflecting functions. We have established a new relationship between the linear differential system and the Riccati equations and applied the obtained results to discuss the behavior of periodic solutions of the Riccati equations.http://dx.doi.org/10.1155/2014/430951
collection DOAJ
language English
format Article
sources DOAJ
author Wenjun Liu
Yingxin Pan
Zhengxin Zhou
spellingShingle Wenjun Liu
Yingxin Pan
Zhengxin Zhou
The Research of Periodic Solutions of Time-Varying Differential Models
International Journal of Differential Equations
author_facet Wenjun Liu
Yingxin Pan
Zhengxin Zhou
author_sort Wenjun Liu
title The Research of Periodic Solutions of Time-Varying Differential Models
title_short The Research of Periodic Solutions of Time-Varying Differential Models
title_full The Research of Periodic Solutions of Time-Varying Differential Models
title_fullStr The Research of Periodic Solutions of Time-Varying Differential Models
title_full_unstemmed The Research of Periodic Solutions of Time-Varying Differential Models
title_sort research of periodic solutions of time-varying differential models
publisher Hindawi Limited
series International Journal of Differential Equations
issn 1687-9643
1687-9651
publishDate 2014-01-01
description We have studied the periodicity of solutions of some nonlinear time-varying differential models by using the theory of reflecting functions. We have established a new relationship between the linear differential system and the Riccati equations and applied the obtained results to discuss the behavior of periodic solutions of the Riccati equations.
url http://dx.doi.org/10.1155/2014/430951
work_keys_str_mv AT wenjunliu theresearchofperiodicsolutionsoftimevaryingdifferentialmodels
AT yingxinpan theresearchofperiodicsolutionsoftimevaryingdifferentialmodels
AT zhengxinzhou theresearchofperiodicsolutionsoftimevaryingdifferentialmodels
AT wenjunliu researchofperiodicsolutionsoftimevaryingdifferentialmodels
AT yingxinpan researchofperiodicsolutionsoftimevaryingdifferentialmodels
AT zhengxinzhou researchofperiodicsolutionsoftimevaryingdifferentialmodels
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