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arxiv: 0710.2082 · v1 · submitted 2007-10-10 · 🧮 math.DS · math.PR

Exponential stability of non-autonomous stochastic partial differential equations with finite memory

classification 🧮 math.DS math.PR
keywords stabilityexponentialfinitememorynon-autonomousstochasticalmostclass
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The exponential stability, in both mean square and almost sure senses, for energy solutions to a class of nonlinear and non-autonomous stochastic PDEs with finite memory is investigated. Various criteria for stability are obtained. An example is presented to demonstrate the main results.

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