New Conditions for the Exponential Stability of Pseudolinear Difference Equations in Banach Spaces

Rigoberto Medina

Abstract and Applied Analysis, 2016, vol. 2016, 1-7

Abstract:

We study the local exponential stability of evolution difference systems with slowly varying coefficients and nonlinear perturbations. We establish the robustness of the exponential stability in infinite-dimensional Banach spaces, in the sense that the exponential stability for a given pseudolinear equation persists under sufficiently small perturbations. The main methodology is based on a combined use of new norm estimates for operator-valued functions with the “freezing” method.

Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:5098086

DOI: 10.1155/2016/5098086

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