Almost sure asymptotic stability for some stochastic partial functional integrodifferential equations on Hilbert spaces. Issue 1 (1st January 2019)

• Record Type: Journal Article
• Authors: Dieye, Moustapha; Diop, Mamadou Abdoul; Ezzinbi, Khalil
• Editors: Bourget, Alain
• Is Part Of: Cogent mathematics & statistics. Volume 6:Issue 1(2019)
• Publication Date: 2019-01-01
• Subjects: exponential stability in p-mean -- almost sure aymptotic stability -- resolvent operator -- stochastic convolution -- mild solution -- predictable process; Mathematics -- Periodicals; Statistics -- Periodicals; Mathematics; Statistics; Periodicals; 510
• DOI: 10.1080/25742558.2019.1602928
• Languages: English
• ISSNs: 2574-2558

Abstract

Abstract: In this work, we study the asymptotic behavior of the mild solutions of a class of stochastic partial functional integrodifferential equation on Hilbert spaces. Using the stochastic convolution developed, we establish the exponential stability in p − mean square with p ≥ 2 . Also, pathwise exponential stability is proved for p > 2. We extend the result of an example is provided for illustration.