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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:
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
Descripción
Sumario: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] ).