Properties of solutions to stochastic set differential equations under non-Lipschitzian coefficients (Q1723981)
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scientific article; zbMATH DE number 7022273
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Properties of solutions to stochastic set differential equations under non-Lipschitzian coefficients |
scientific article; zbMATH DE number 7022273 |
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Properties of solutions to stochastic set differential equations under non-Lipschitzian coefficients (English)
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14 February 2019
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Summary: A class of stochastic set differential equations (SSDEs) with non-Lipschitzian coefficients is investigated. We first give the preliminaries on the stochastic set differential equations. Then the nonexplosion of solutions to the SSDEs is discussed. Moreover, the existence and uniqueness of the solutions to SSDEs are proven. Finally, the continuous dependence of the solutions to SSDEs is studied.
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