Homoclinic solutions in periodic nonlinear difference equations with superlinear nonlinearity (Q383632)
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scientific article; zbMATH DE number 6235950
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homoclinic solutions in periodic nonlinear difference equations with superlinear nonlinearity |
scientific article; zbMATH DE number 6235950 |
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Homoclinic solutions in periodic nonlinear difference equations with superlinear nonlinearity (English)
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5 December 2013
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The existence of homoclinic solutions in periodic nonlinear difference equations with superlinear nonlinearity is considered. The classical Ambrosetti-Rabinowitz superlinear condition is improved by a general superlinear one. The main idea in this paper is an application of a linking theorem combined with an approximation technique.
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homoclinic solution
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periodic nonlinear difference equation
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superlinear nonlinearity
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critical point theory
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periodic approximation
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Ambrosetti-Rabinowitz superlinear condition
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0.9449967
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