On Dichotomous Behavior of Variational Difference Equations and Applications | Zendy

Bogdan Sasu | Zendy

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On Dichotomous Behavior of Variational Difference Equations and Applications

Author(s) -

Bogdan Sasu

Publication year - 2009

Publication title -

discrete dynamics in nature and society

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.264

H-Index - 39

eISSN - 1607-887X

pISSN - 1026-0226

DOI - 10.1155/2009/140369

Subject(s) - sequence (biology) , exponential function , mathematics , algorithm , computer science , mathematical analysis , biology , genetics

We give new and very general characterizations for uniform exponential dichotomy of variational difference equations in terms of the admissibility of pairs of sequence spaces over ℕ with respect to an associated control system. We establish in the variational case the connections between the admissibility of certain pairs of sequence spaces over ℕ and the admissibility of the corresponding pairs of sequence spaces over ℤ. We apply our results to the study of the existence of exponential dichotomy of linear skew-product flows

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