Periodic solutions for a class of nonlinear difference equations (Q297509)
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scientific article; zbMATH DE number 6598407
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Periodic solutions for a class of nonlinear difference equations |
scientific article; zbMATH DE number 6598407 |
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Periodic solutions for a class of nonlinear difference equations (English)
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27 June 2016
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periodic solutions
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nonlinear difference equations
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discrete variational theory
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0.99463683
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0.98645496
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0.9747458
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0.9735233
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0.9696394
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Consider the forward and backward difference equation of the form: NEWLINE\[NEWLINE\Delta(p_{n}(\Delta u_{n-1})^{\delta})+f(n,u_{n+1},u_{n},u_{n-1})=0,\quad n\in\mathbb Z.\tag{1}NEWLINE\]NEWLINE Under a number of hypotheses it is shown that (1) has at least three \(T\)-periodic solutions. (See also a related paper by the same authors [Azerb. J. Math. 6, No. 1, 87--102 (2016; Zbl 1345.39007)].)
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