Existence and asymptotic behavior of solutions for neutral stochastic partial integrodifferential equations with infinite delays-Reference-Cited by-同舟云学术

Existence and asymptotic behavior of solutions for neutral stochastic partial integrodifferential equations with infinite delays

Published:2016-11-06 Issue:06 Volume:16 Page:1650014
ISSN:0219-4937
Container-title:Stochastics and Dynamics
language:en
Short-container-title:Stoch. Dyn.

Author:

Diop Mamadou Abdoul¹,Caraballo Tomás²,Mahamat Zene Mahamat¹

Affiliation:

1. UFR de Sciences Appliquées et de Technologie, Université Gaston Berger, Sanar, Saint-Louis, BP234, Sénégal

2. Dpto. Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160, 41080-Sevilla, Spain

Abstract

In this work we study the existence, uniqueness and asymptotic behavior of mild solutions for neutral stochastic partial integrodifferential equations with infinite delays. To prove the results, we use the theory of resolvent operators as developed by R. Grimmer [13], as well as a version of the fixed point principle. We establish sufficient conditions ensuring that the mild solutions are exponentially stable in [Formula: see text]th-moment. An example is provided to illustrate the abstract results.

Publisher

World Scientific Pub Co Pte Lt

Subject

Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219493716500143

Reference29 articles.

1. Fixed points, stability, and exact linearization

2. Fixed points and stability of an integral equation: nonuniqueness

3. Existence and asymptotic behaviour for stochastic heat equations with multiplicative noise in materials with memory

4. The existence and exponential behavior of solutions to stochastic delay evolution equations with a fractional Brownian motion

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