On exponential stability of mild solutions for some stochastic partial integrodifferential equations

Moustapha Dieye, Mamadou Abdoul Diop and Khalil Ezzinbi

Statistics & Probability Letters, 2017, vol. 123, issue C, 61-76

Abstract: In this work, we study the existence and exponentially stability in p-mean square for some stochastic integrodifferential equation with delays. Also pathwise exponential stability is proved for p>2. We assume that the linear part has a resolvent operator in the sense given by Grimmer (1982). The delayed part is assumed to be continuous. Our results are proved by using the stochastic convolution.

Keywords: Exponential stability; Resolvent operator; Stochastic convolution; Mild solution; Predictable process; Integrodifferential equations delays (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1016/j.spl.2016.10.031

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