Homoclinic orbits for second order discrete Hamiltonian systems with potential changing sign

DOI10.1007/s10440-008-9237-zzbMath1153.39012OpenAlexW1973213263MaRDI QIDQ959990

Gong Cheng, Xiaoqing Deng

Publication date: 16 December 2008

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9237-z

zbMATH Keywords

Critical point theoryHomoclinic orbitsSecond order discrete Hamiltonian system

Mathematics Subject Classification ID

Related Items (27)

Multiple homoclinic orbits for second order discrete Hamiltonian systems without symmetric condition ⋮ Existence of homoclinic orbits for fourth-order \(p\)-Laplacian difference equations ⋮ Infinitely many homoclinic orbits for discrete Hamiltonian systems with subquadratic potential ⋮ Homoclinic orbits for discrete Hamiltonian systems with subquadratic potential ⋮ Homoclinic solutions for second-order discrete Hamiltonian systems with asymptotically quadratic potentials ⋮ Infinitely many homoclinic orbits for a class of discrete Hamiltonian systems ⋮ Periodic solutions for second-order difference equations with resonance at infinity ⋮ Homoclinic orbits of first order discrete Hamiltonian systems with super linear terms ⋮ New potential condition on homoclinic orbits for a class of discrete Hamiltonian systems ⋮ Homoclinic orbits for second-order discrete Hamiltonian systems with subquadratic potential ⋮ Existence of time homoclinic solutions for a class of discrete wave equations ⋮ New results for second order discrete Hamiltonian systems ⋮ Infinitely many stationary solutions of discrete vector nonlinear Schrödinger equation with symmetry ⋮ Homoclinic orbits for a class of noncoercive discrete Hamiltonian systems ⋮ Homoclinic solutions for a class of fourth‐order difference equations ⋮ Heteroclinic orbits for discrete Hamiltonian systems ⋮ Subharmonic solutions and homoclinic orbits of second order discrete Hamiltonian systems with potential changing sign ⋮ Existence of infinitely many homoclinic orbits in discrete Hamiltonian systems ⋮ Homoclinic orbits for asymptotically linear discrete Hamiltonian systems ⋮ Homoclinic orbits for second order discrete Hamiltonian systems with general potentials ⋮ Heteroclinic orbits for a discrete pendulum equation ⋮ Existence and multiplicity of homoclinic solutions for second-order discrete Hamiltonian systems with subquadratic potential ⋮ Homoclinic orbits for a class of discrete periodic Hamiltonian systems ⋮ HOMOCLINIC SOLUTIONS OF DISCRETE NONLINEAR SYSTEMS VIA VARIATIONAL METHOD ⋮ Infinitely many homoclinic solutions for second-order discrete Hamiltonian systems ⋮ Homoclinic orbits for discrete Hamiltonian systems with indefinite linear part ⋮ Homoclinic orbits for second order \(p\)-Laplacian difference equations containing both advance and retardation

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