On periodic solutions of autonomous difference equations (Q2726703)
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scientific article; zbMATH DE number 1621375
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On periodic solutions of autonomous difference equations |
scientific article; zbMATH DE number 1621375 |
Statements
19 December 2001
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method of periodic successive approximations
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periodic solution
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periodic difference equations
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Banach spaces
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autonomous difference equations
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0.96063685
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0.9571729
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0.9555886
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On periodic solutions of autonomous difference equations (English)
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Using the method of periodic successive approximations [cf. \textit{M. Ronto} and \textit{A. M. Samoilenko}, Numerical-analytic methods in the theory of boundary-value problems. Singapore: World Scientific (2000; Zbl 0957.65074)] adopted for the study of periodic difference equations in Banach spaces, the authors obtain lower bounds for the periods of non-constant periodic solutions of autonomous difference equations in Banach space with nonlinear terms satisfying a kind of Lipschitz condition.
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