New results for second order discrete Hamiltonian systems

DOI10.11650/tjm/7762zbMath1387.37057OpenAlexW2603495179MaRDI QIDQ1750680

Zhi Min He, Zigen Ouyang, Huiwen Chen, Jianli Li

Publication date: 23 May 2018

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1498750959

zbMATH Keywords

critical point theoryvariational methodhomoclinic solutiondiscrete Hamiltonian system

Mathematics Subject Classification ID

Cites Work

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• Existence of infinitely many homoclinic orbits in discrete Hamiltonian systems
• Homoclinic orbits of a class of second-order difference equations
• Homoclinic orbits for second order self-adjoint difference equations
• Homoclinic orbits for second order discrete Hamiltonian systems with potential changing sign
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• New potential condition on homoclinic orbits for a class of discrete Hamiltonian systems
• Perturbation theory for linear operators.
• Minimax theorems
• Homoclinic orbits and subharmonics for nonlinear second order difference equations
• Homoclinic solutions for second order discrete Hamiltonian systems with superquadratic potentials
• Infinitely many homoclinic solutions for second-order discrete Hamiltonian systems
• Homoclinic solutions for second-order discrete Hamiltonian systems with asymptotically quadratic potentials
• Discrete Hamilton–Jacobi Theory
• Existence and multiplicity of homoclinic solutions for second-order discrete Hamiltonian systems with subquadratic potential
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems
• Infinitely many solutions of a symmetric Dirichlet problem
• Infinitely many homoclinic orbits for discrete Hamiltonian systems with subquadratic potential
• Discrete variational Hamiltonian mechanics
• Homoclinic solutions for a class of second order discrete Hamiltonian systems

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