Roughness of (ℤ (+), ℤ (−))-Nonuniform Exponential Dichotomy for Difference Equations in Banach Spaces

In this paper we study the roughness of (ℤ (+), ℤ (−))-nonuniform exponential dichotomy for nonautonomous difference equations in the general context of infinite-dimensional spaces. An explicit form is given for each of the dichotomy constants of the perturbed equation in terms of the original ones....

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Detalles Bibliográficos
Autor principal: Lupa, Nicolae
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3921951/
https://www.ncbi.nlm.nih.gov/pubmed/24592188
http://dx.doi.org/10.1155/2014/819046
Descripción
Sumario:In this paper we study the roughness of (ℤ (+), ℤ (−))-nonuniform exponential dichotomy for nonautonomous difference equations in the general context of infinite-dimensional spaces. An explicit form is given for each of the dichotomy constants of the perturbed equation in terms of the original ones. We emphasize that we do not assume any boundedness condition on the coefficients.

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