Existence and global exponential stability of periodic solutions for n-dimensional neutral dynamic equations on time scales

In this paper, by using the existence of the exponential dichotomy of linear dynamic equations on time scales and the theory of calculus on time scales, we study the existence and global exponential stability of periodic solutions for a class of n-dimensional neutral dynamic equations on time scales...

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Detalles Bibliográficos
Autores principales: Li, Bing, Li, Yongkun, Zhang, Xuemei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4771688/
https://www.ncbi.nlm.nih.gov/pubmed/27026918
http://dx.doi.org/10.1186/s40064-016-1872-7
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author Li, Bing
Li, Yongkun
Zhang, Xuemei
author_facet Li, Bing
Li, Yongkun
Zhang, Xuemei
author_sort Li, Bing
collection PubMed
description In this paper, by using the existence of the exponential dichotomy of linear dynamic equations on time scales and the theory of calculus on time scales, we study the existence and global exponential stability of periodic solutions for a class of n-dimensional neutral dynamic equations on time scales. We also present an example to illustrate the feasibility of our results. The results of this paper are completely new and complementary to the previously known results even in both the case of differential equations (time scale [Formula: see text] ) and the case of difference equations (time scale [Formula: see text] ).
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spelling pubmed-47716882016-03-29 Existence and global exponential stability of periodic solutions for n-dimensional neutral dynamic equations on time scales Li, Bing Li, Yongkun Zhang, Xuemei Springerplus Research In this paper, by using the existence of the exponential dichotomy of linear dynamic equations on time scales and the theory of calculus on time scales, we study the existence and global exponential stability of periodic solutions for a class of n-dimensional neutral dynamic equations on time scales. We also present an example to illustrate the feasibility of our results. The results of this paper are completely new and complementary to the previously known results even in both the case of differential equations (time scale [Formula: see text] ) and the case of difference equations (time scale [Formula: see text] ). Springer International Publishing 2016-02-29 /pmc/articles/PMC4771688/ /pubmed/27026918 http://dx.doi.org/10.1186/s40064-016-1872-7 Text en © Li et al. 2016 Open AccessThis article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Li, Bing
Li, Yongkun
Zhang, Xuemei
Existence and global exponential stability of periodic solutions for n-dimensional neutral dynamic equations on time scales
title Existence and global exponential stability of periodic solutions for n-dimensional neutral dynamic equations on time scales
title_full Existence and global exponential stability of periodic solutions for n-dimensional neutral dynamic equations on time scales
title_fullStr Existence and global exponential stability of periodic solutions for n-dimensional neutral dynamic equations on time scales
title_full_unstemmed Existence and global exponential stability of periodic solutions for n-dimensional neutral dynamic equations on time scales
title_short Existence and global exponential stability of periodic solutions for n-dimensional neutral dynamic equations on time scales
title_sort existence and global exponential stability of periodic solutions for n-dimensional neutral dynamic equations on time scales
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4771688/
https://www.ncbi.nlm.nih.gov/pubmed/27026918
http://dx.doi.org/10.1186/s40064-016-1872-7
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