Random integral equations on time scales (Q2871599)
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scientific article; zbMATH DE number 6243645
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Random integral equations on time scales |
scientific article; zbMATH DE number 6243645 |
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Random integral equations on time scales (English)
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8 January 2014
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random integral equations
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time scale
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existence
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uniqueness
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stability
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Existence and uniqueness of an asymptotically exponentially stable solution is proved for random Volterra integral equations on a time scale \(T_0\) of the form NEWLINE\[NEWLINEx(t,\omega)= h(t,\omega)+ \lambda \int^t_{t_0} k(t,s,\omega),f(s, x(s,\omega),\,\omega)\,\Delta s,\quad t\in T_0.NEWLINE\]NEWLINE The proofs of several known theorems of this type are shown to follow as special cases of this result.
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