Existence of homoclinic solutions for a class of nonlinear difference equations.
Chen, Peng, Tang, X.H. (2010)
Advances in Difference Equations [electronic only]
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Displaying similar documents to “Existence of homoclinic orbit for second-order nonlinear difference equation.”
Existence of homoclinic solutions for a class of nonlinear difference equations.
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Yuhua Long, Yuanbiao Zhang, Haiping Shi (2016)
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By using the critical point method, some new criteria are obtained for the existence and multiplicity of homoclinic solutions to a 2nth-order nonlinear difference equation. The proof is based on the Mountain Pass Lemma in combination with periodic approximations. Our results extend and improve some known ones.
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Multiplicity of homoclinic orbits for a class of asymptotically periodic Hamiltonian systems
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We prove the existence of infinitely many geometrically distinct homoclinic orbits for a class of asymptotically periodic second order Hamiltonian systems.
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