Robustness of Exponential Dichotomy in a Class of Generalised Almost Periodic Linear Differential Equations in Infinite Dimensional Banach Spaces

In this paper we study the robustness of the exponential dichotomy in nonautonomous linear ordinary differential equations under integrally small perturbations in infinite dimensional Banach spaces. Some applications are obtained to the case of rapidly oscillating perturbations, with arbitrarily sma...

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Bibliographic Details

Published in:	Journal of dynamics and differential equations Vol. 34; no. 4; pp. 2841 - 2865
Main Authors:	Rodrigues, H. M., Caraballo, T., Nakassima, G. K.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.12.2022 Springer Nature B.V
Subjects:	Applications of Mathematics Banach spaces Dichotomies Differential equations Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Periodic functions Perturbation Robustness (mathematics) Stability Nonautonomous ordinary differential equations Generalized almost period functions Exponential dichotomy
ISSN:	1040-7294, 1572-9222
Online Access:	Get full text
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