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Existence of random mild solutions of a random integrodifferential equation with lack of compactness

Article scientifique 2022 Anglais

Résumé

Abstract In this paper, we show the existence of random mild solutions for a broad class of random integrodifferential equations with lack of compactness. The results are obtained using noncompact resolvent operators and a fixed point theorem of Monch type. Our results are applied to a large variety of partial differential equations in which memory effects are considered. Some examples are provided to illustrate the theoretical results. Mathematics Subject Classification (2010). Primary 45K05, 47G20, 47D06, 47H10; Secondary 47H08.

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El-Ghabi, A., Khchine, A., Taoudi, M. (2022). Existence of random mild solutions of a random integrodifferential equation with lack of compactness. https://doi.org/10.21203/rs.3.rs-2365450/v1

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Auteur(s)

Adil El-Ghabi Abdelmjid Khchine Mohamed-Aziz Taoudi

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