On stochastic integrodifferential equations via non-linear integral contractors. II (Q2867534)
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scientific article; zbMATH DE number 6241250
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On stochastic integrodifferential equations via non-linear integral contractors. II |
scientific article; zbMATH DE number 6241250 |
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19 December 2013
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random integral contractor
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modified Lipschitz condition
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On stochastic integrodifferential equations via non-linear integral contractors. II (English)
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This is an extension of the results published by the authors [ibid. 23, No. 3, 167--180 (2009; Zbl 1289.60115)]. The authors continue to investigate existence and uniqueness problems for a general Itō-Volterra integro-differential equation using a nonlinear random contractor. In order to compare these results with the classical existence and uniqueness theorem based on the global Lipschitz condition, the notions of a modified Lipschitz condition and a modified random integral contractor are defined.
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