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Pseudo Almost Periodic Solutions of Impulsive Differential Equations with Delay

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Abstract

The dynamics of many evolving processes are subject to abrupt changes, such as shocks, harvesting and natural disasters. These phenomena involve shortterm perturbations from continuous and smooth dynamics, whose duration is negligible in comparison with the duration of an entire evolution. This paper studies the existence and uniqueness of pseudo almost periodic solutions for a class of impulsive differential equations in Banach space. The investigations are carried out by means of the fractional powers of operators.

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Acknowledgments

The author would like to thank the reviewers for their valuable comments and constructive suggestions, which considerably improved the presentation of this paper.

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  1. ISSATs and Laboratory of Mathematical Physics, Specials Functions and Applications, LR11ES35, Ecole Supérieure des Sciences et de Technologie de Hammam-Sousse, Université de Sousse, Sousse, Tunisia

    Farouk Chérif

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  1. Farouk Chérif
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Correspondence to Farouk Chérif.

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Chérif, F. Pseudo Almost Periodic Solutions of Impulsive Differential Equations with Delay. Differ Equ Dyn Syst 22, 73–91 (2014). https://doi.org/10.1007/s12591-012-0156-0

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