Abstract
By using the critical point theory, the existence of a nontrivial homoclinic orbit which decays exponentially at infinity for difference equations containing both advance and retardation is obtained. The proof is based on the mountain pass lemma in combination with periodic approximations. Our results extend the results of 2007.
Citation
Zhiguo Ren. Yuanbiao Zhang. Bo Zheng. Haiping Shi. "Homoclinic orbits of nonlinear functional difference equations with Jacobi operators." Rocky Mountain J. Math. 43 (6) 1991 - 2008, 2013. https://doi.org/10.1216/RMJ-2013-43-6-1991
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