Existence of homoclinic orbit for second-order nonlinear difference equation.
Chen, Peng, Xiao, Li (2010)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Existence of homoclinic orbit for second-order nonlinear difference equation.
Homoclinic solutions of 2nth-order difference equations containing both advance and retardation
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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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