Homoclinic solutions for a class of nonperiodic and noneven second-order Hamiltonian systems

DOI10.1016/J.JMAA.2009.12.046zbMath1246.37084OpenAlexW2064855155MaRDI QIDQ961087

Dong-Lun Wu, Chun-Lei Tang, Xing-Ping Wu

Publication date: 29 March 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.12.046

zbMATH Keywords

mountain pass theoremhomoclinic solutionssecond-order Hamiltonian systemscondition (C)Sobolev's embedding theorem

Mathematics Subject Classification ID

Related Items (17)

On a damped vibration problem involving \(p\)-Laplacian operator: fast homoclinic orbits ⋮ Existence of fast homoclinic solutions for a class of second-order damped vibration systems ⋮ New existence of hyperbolic orbits for a class of singular Hamiltonian systems ⋮ Existence of two almost homoclinic solutions for \(p(t)\)-Laplacian Hamiltonian systems with a small perturbation ⋮ Fast homoclinic solutions for a class of damped vibration problems ⋮ Local super-quadratic conditions on homoclinic solutions for a second-order Hamiltonian system ⋮ Existence of homoclinic orbits for a class of asymptotically \(p\)-linear aperiodic \(p\)-Laplacian systems ⋮ Existence of fast homoclinic orbits for a class of second-order non-autonomous problems ⋮ Fast homoclinic solutions for a class of damped vibration problems with subquadratic potentials ⋮ Infinitely many homoclinic solutions for a second-order Hamiltonian system with locally defined potentials ⋮ Homoclinic orbits for superquadratic Hamiltonian systems without a periodicity assumption ⋮ Existence and multiplicity of homoclinic solutions for a class of damped vibration problems ⋮ Three homoclinic solutions for second-order \(p\)-Laplacian differential system ⋮ Infinitely many homoclinic solutions for a second-order Hamiltonian system ⋮ Subharmonic and homoclinic solutions for second order Hamiltonian systems with new superquadratic conditions ⋮ Existence of infinitely many homoclinic orbits for a class of aperiodic systems via variational methods ⋮ TWO ALMOST HOMOCLINIC SOLUTIONS FOR A CLASS OF PERTURBED HAMILTONIAN SYSTEMS WITHOUT COERCIVE CONDITIONS

Cites Work

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• Homoclinic solutions for a class of the second order Hamiltonian systems
• Homoclinic solutions for nonautonomous second order Hamiltonian systems with a coercive potential
• Homoclinic orbits for a class of Hamiltonian systems
• Homoclinic solutions for a class of second-order Hamiltonian systems
• Homoclinic solutions for nonautonomous second-order Hamiltonian systems with a coercive potential
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