On an explicit representation of the solution of linear stochastic partial differential equations with delays
نویسندگان
چکیده
منابع مشابه
On an explicit representation of the solution of general linear differential equations
Based on the analysis of a certain class of linear operators on a Banach space, we provide a closed form expression for the solutions of certain linear differential equations with non-autonomous input, time delays and stochastic terms, which takes the form of an infinite expansion.
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چکیده ندارد.
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Abstract. Some criteria for the asymptotic stability of nonlinear stochastic partial differential equations with variable delays are presented. A coercivity condition plays the role of an exponential stability criterion. Consequently, under the coercivity condition almost all the trajectories of the nonstationary solutions of the given stochastic system finally tend exponentially to zero. Two e...
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ژورنال
عنوان ژورنال: Comptes Rendus Mathematique
سال: 2012
ISSN: 1631-073X
DOI: 10.1016/j.crma.2012.01.004