Exponential Behavior of Solutions to Stochastic Integrodifferential Equations with Distributed Delays |
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| Authors: | Mamadou Abdoul Diop TomáS Caraballo Abdoul Aziz Ndiaye |
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| Institution: | 1. UFR des Sciences Appliquées et Technologie, Département de Mathématiques, Université Gaston Berger, Saint-Louis, Sénégal;2. Departemento Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Sevilla, Spain |
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| Abstract: | In this work, we study the existence, uniqueness, and exponential asymptotic behavior of mild solutions to stochastic integrodifferential delay evolution equations. We assume that the non-delay part generates a C0-semigroup. |
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| Keywords: | C0-semigroup Partial functional differential equations Brownian motion Finite delay Mild solution Exponential decay in mean square |
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