Existence of bounded solutions of nonlinear difference equations in Banach spaces (Q460535)
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scientific article; zbMATH DE number 6354762
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of bounded solutions of nonlinear difference equations in Banach spaces |
scientific article; zbMATH DE number 6354762 |
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Existence of bounded solutions of nonlinear difference equations in Banach spaces (English)
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13 October 2014
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Sufficient conditions for the existence of bounded solutions of the nonlinear difference equations \[ x(n+1)=F(n,x(n))x(n)+f(n), \quad n\in \mathbb Z, \] in a Banach space are established. An example is also given.
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bounded solution
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nonlinear difference equation
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Banach space
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