Homoclinic solutions for a class of nonlinear difference equations (Q1714746)
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scientific article; zbMATH DE number 7010739
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Homoclinic solutions for a class of nonlinear difference equations |
scientific article; zbMATH DE number 7010739 |
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Homoclinic solutions for a class of nonlinear difference equations (English)
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1 February 2019
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Summary: We prove the existence of homoclinic solutions of a class of nonlinear difference equations with superlinear nonlinearity by using the generalized Nehari manifold approach. For the case where the nonlinearity is odd, we obtain infinitely many homoclinic solutions of the equations. Recent results in the literature are generalized and improved.
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