Differential and Integral Equations

Stability properties in the $\alpha-$norm of solutions of stochastic partial functional differential equations

T.E. Govindan

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Abstract

In this paper, we study almost sure exponential stability and asymptotic stability in probability of mild solutions of stochastic partial functional differential equations in Hilbert spaces. The linear part is assumed to generate an analytic semigroup while the drift and diffusion terms satisfy a Hölder type condition with respect to the fractional power norm of the linear part.

Article information

Source
Differential Integral Equations, Volume 23, Number 5/6 (2010), 401-418.

Dates
First available in Project Euclid: 20 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356019302

Mathematical Reviews number (MathSciNet)
MR2654241

Zentralblatt MATH identifier
1240.60180

Subjects
Primary: 60H20: Stochastic integral equations 34K50: Stochastic functional-differential equations [See also , 60Hxx] 93E15: Stochastic stability

Citation

Govindan, T.E. Stability properties in the $\alpha-$norm of solutions of stochastic partial functional differential equations. Differential Integral Equations 23 (2010), no. 5/6, 401--418. https://projecteuclid.org/euclid.die/1356019302


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