Solving a system of nonlinear integral equations and existence of asymptotically stable solutions (Q2896907)
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scientific article; zbMATH DE number 6053290
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solving a system of nonlinear integral equations and existence of asymptotically stable solutions |
scientific article; zbMATH DE number 6053290 |
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Solving a system of nonlinear integral equations and existence of asymptotically stable solutions (English)
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5 July 2012
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fixed point
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system of nonlinear integral equations
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contraction mapping
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completely continuous operator
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Lipschitz type conditions
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asymptotic stability
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Banach space
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Of concern is the existence of solutions of some system of nonlinear integral equations in a Banach space \(E\). As in the case of \(E=\mathbb R^d\), an existence result is given by using the Krasnosel'skii fixed point theorem under some assumptions including two Lipschitz type conditions.
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