Nonexistence of Homoclinic Solutions for a Class of Discrete Hamiltonian Systems

Xiaoping Wang

Abstract and Applied Analysis, 2013, vol. 2013, issue 1

Abstract: We give several sufficient conditions under which the first‐order nonlinear discrete Hamiltonian system Δx(n) = α(n)x(n + 1) + β(n) | y(n)|μ−2y(n), Δy(n) = −γ(n) | x(n + 1)|ν−2x(n + 1) − α(n)y(n) has no solution (x(n), y(n)) satisfying condition 0 1 and 1/μ + 1/ν = 1 and α(n), β(n), and γ(n) are real‐valued functions defined on ℤ.

Date: 2013
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https://doi.org/10.1155/2013/398681

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:398681

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