Homoclinic orbits for second order self-adjoint difference equations (Q852764)
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scientific article; zbMATH DE number 5072961
| Language | Label | Description | Also known as |
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| English | Homoclinic orbits for second order self-adjoint difference equations |
scientific article; zbMATH DE number 5072961 |
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Homoclinic orbits for second order self-adjoint difference equations (English)
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15 November 2006
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The authors use variational methods to study the existence of nontrivial homoclinic orbits for a nonlinear difference equation. Such solutions were first discovered by Poincaré in 1899. They are also called doubly asymptotic solutions. The proof of the main result in this paper is based on the mountain pass theorem.
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doubly asymptotic solutions
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homoclinic orbits
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discrete variational methods
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nonlinear difference equation
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mountain pass theorem
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