Abstract Volterra equations with stochastic kernels (Q2771535)
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scientific article; zbMATH DE number 1705780
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Abstract Volterra equations with stochastic kernels |
scientific article; zbMATH DE number 1705780 |
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17 February 2002
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Volterra equation
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stochastic kernel
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Abstract Volterra equations with stochastic kernels (English)
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The Volterra equation NEWLINE\[NEWLINE x(t,\omega)=f(t,\omega)+\int_0^t a(t-s,\omega)Ax(s,\omega)dsNEWLINE\]NEWLINE with the stochastic kernel \(a(t,\omega)\) is considered. The author proposes a sufficient condition for existence and uniqueness of a solution to this equation. As application, an equation from fluid mechanics is investigated.
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