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

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

2007-10-10

arxiv.org/abs/0710.2082v1

Mathematics

Dynamical Systems

Scientific paper

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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