Existence of infinitely many homoclinic orbits for fourth-order difference systems containing both advance and retardation
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摘要
By using the symmetric mountain pass theorem, we establish some existence criteria to guarantee the fourth-order difference system Δ4u(n − 2) + q(n)u(n) = f(n, u(n + 1), u(n), u(n − 1)) have infinitely many homoclinic orbits, where n∈Z,u∈RN,q:Z→RN×N and f:Z×R3N→R are no periodic in n.
论文关键词:Fourth-order difference system,Homoclinic solutions,Symmetric mountain pass theorem
论文评审过程:Available online 21 October 2010.
论文官网地址:https://doi.org/10.1016/j.amc.2010.09.067