Almost sure asymptotic stability for some stochastic partial functional integrodifferential equations on Hilbert spaces

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Date

2019-04-25

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Taylor and Francis Online

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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 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.

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Stochastic delay differential equations (SDDEs) play an important role in many branches of science and industry. Such models have been used with great success in a variety of application areas, including biology, epidemiology, mechanics, economics, and finance.

Keywords

exponential stability in p-mean , almost sure aymptotic stability , resolvent operator , stochastic convolution , mild solution , predictable process

Citation

Almost sure asymptotic stability for some stochastic partial functional integrodifferential equations on Hilbert spaces. Cogent Mathematics & Statistics, Volume 6. https://doi.org/10.1080/25742558.2019.1602928

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http://hdl.handle.net/123456789/1457

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