Stability in terms of two measures of solutions to stochastic partial differential delay equations with switching |
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| Authors: | Minghui Song Shufen Zhao |
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| Affiliation: | 1. Department of Mathematics, Harbin Institute of Technology, Harbin 150001, PR China;2. Department of Mathematics, Taishan University, Taishan 271000, PR China |
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| Abstract: | In this paper, the problem of stability in terms of two measures is considered for a class of stochastic partial differential delay equations with switching. Sufficient conditions for stability in terms of two measures are obtained based on the technique of constructing a proper approximating strong solution system and conducting a limiting type of argument to pass on stability of strong solutions to mild ones. In particular, the stochastic stability under the fixed‐index sequence monotonicity condition and under the average dwell‐time switching are considered. |
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| Keywords: | average dwell‐time switching stochastic partial differential equations stability in terms of two measures |
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