Existence of homoclinic orbits of superquadratic second-order Hamiltonian systems

DOI10.4171/ZAA/1527zbMath1342.34064MaRDI QIDQ2259312

Chengjiang Wang, Chengjun Guo, Donal O'Regan, Ravi P. Agarwal

Publication date: 3 March 2015

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

Hamiltonian systemscritical point theoryhomoclinic orbitssuperquadracity

Mathematics Subject Classification ID

Applications of variational problems in infinite-dimensional spaces to the sciences (58E50) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (13)

Standing wave solutions for the discrete nonlinear Schrödinger equations with indefinite sign subquadratic potentials ⋮ Periodic and subharmonic solutions for \(2n\)th-order \(\phi_c\)-Laplacian difference equations containing both advance and retardation ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Multiple of homoclinic solutions for a perturbed dynamical systems with combined nonlinearities ⋮ Periodic and subharmonic solutions for a class of superquadratic first order Hamiltonian systems ⋮ Existence of homoclinic orbits of a class of second-order quasilinear Schrödinger equations with delay ⋮ Existence and multiple solutions for second-order \(p\)-Laplacian difference equations ⋮ Existence and multiple solutions to a discrete fourth order boundary value problem ⋮ Periodic solutions with minimal period for fourth-order nonlinear difference equations ⋮ Existence of solutions to boundary value problems for a fourth-order difference equation ⋮ Existence of homoclinic orbits for a higher order difference system ⋮ Homoclinic orbits for the second-order Hamiltonian systems

Cites Work

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• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems
• Existence of subharmonic solutions and homoclinic orbits for a class of even higher order differential equations
• Homoclinic orbits for a class of Hamiltonian systems
• Homoclinic orbits for asymptotically linear Hamiltonian systems

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