Existence and stability for stochastic partial differential equations with infinite delay (Q1722390)
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scientific article; zbMATH DE number 7021966
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence and stability for stochastic partial differential equations with infinite delay |
scientific article; zbMATH DE number 7021966 |
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Existence and stability for stochastic partial differential equations with infinite delay (English)
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14 February 2019
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Summary: We consider a class of neutral stochastic partial differential equations with infinite delay in real separable Hilbert spaces. We derive the existence and uniqueness of mild solutions under some local Carathéodory-type conditions and also exponential stability in mean square of mild solutions as well as its sample paths. Some known results are generalized and improved.
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Existence and stability for stochastic partial differential equations with infinite delay
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Carathéodory-type conditions
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