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arXiv · 0710.2082

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

Li Wan·Jinqiao Duan
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Abstract

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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Li Wan, Jinqiao Duan. 2007-10-10. Exponential stability of non-autonomous stochastic partial differential equations with finite memory. https://arxiv.org/abs/0710.2082

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