Infinitely Many Homoclinic Orbits for 2nth‐Order Nonlinear Functional Difference Equations Involving the p‐Laplacian

Xiaofei He

Abstract and Applied Analysis, 2012, vol. 2012, issue 1

Abstract: By establishing a new proper variational framework and using the critical point theory, we establish some new existence criteria to guarantee that the 2nth‐order nonlinear difference equation containing both advance and retardation with p‐Laplacian Δn(r(t − n)φp(Δnu(t − 1))) + q(t)φp(u(t)) = f(t, u(t + n), …, u(t), …, u(t − n)), n ∈ ℤ(3), t ∈ ℤ, has infinitely many homoclinic orbits, where φp(s) is p‐Laplacian operator;φp(s) = |s|p−2s(1

Date: 2012
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https://doi.org/10.1155/2012/297618

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:297618

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