Existence of infinitely many homoclinic orbits for fourth-order difference systems containing both advance and retardation (Q620984)
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scientific article; zbMATH DE number 5843668
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of infinitely many homoclinic orbits for fourth-order difference systems containing both advance and retardation |
scientific article; zbMATH DE number 5843668 |
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Existence of infinitely many homoclinic orbits for fourth-order difference systems containing both advance and retardation (English)
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2 February 2011
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Sufficient conditions which guarantee that the fourth-order difference system of the form \[ \Delta^4 u(n-2)+q(n)u(n)=f(n,u(n+1),u(n),u(n-1)) \] has infinitely many homoclinic orbits are established. Two examples illustrating the results are given.
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fourth-order difference system
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symmetric mountain pass theorem
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homoclinic orbits
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