Nontrivial periodic solutions for nonlinear second-order difference equations (Q764528)
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scientific article; zbMATH DE number 6014490
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nontrivial periodic solutions for nonlinear second-order difference equations |
scientific article; zbMATH DE number 6014490 |
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Nontrivial periodic solutions for nonlinear second-order difference equations (English)
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13 March 2012
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Summary: This paper is concerned with the existence of nontrivial periodic solutions and positive periodic solutions to a nonlinear second-order difference equation. Under some conditions concerning the first positive eigenvalue of the linear equation corresponding to the nonlinear second-order equation, we establish the existence results by using the topological degree and fixed point index theories.
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positive periodic solutions
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nonlinear second-order difference equation
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topological degree
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fixed point index
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