On stability of solutions to nonlinear almost periodic systems of difference equations (Q1288121)
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scientific article; zbMATH DE number 1286004
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On stability of solutions to nonlinear almost periodic systems of difference equations |
scientific article; zbMATH DE number 1286004 |
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On stability of solutions to nonlinear almost periodic systems of difference equations (English)
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11 May 1999
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A nonlinear difference system of equations \(x_{n+1}=f(x_n,n)\) is considered. Here \(f\) is an almost periodic with respect to \(n\) function which satisfies the Lipschitz condition in \(x\). A sufficient condition for asymptotic stability in terms of the Lyapunov function is established.
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Lipschitz condition
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almost periodic systems
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nonlinear difference system
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asymptotic stability
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Lyapunov function
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