Homoclinic solutions for second order Hamiltonian systems near the origin

DOI10.1186/S13662-015-0703-4zbMath1419.34143OpenAlexW2262148991WikidataQ59468283 ScholiaQ59468283MaRDI QIDQ1796280

Li-Li Wan

Publication date: 17 October 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0703-4

zbMATH Keywords

homoclinic solutionssecond order Hamiltonian systemslocal conditions

Mathematics Subject Classification ID

Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (1)

Existence and Ulam stability for implicit fractional \(q\)-difference equations

Cites Work

• Existence of homoclinic solutions for a class of second-order Hamiltonian systems with general potentials
• Homoclinic solutions for subquadratic Hamiltonian systems without coercive conditions
• Homoclinic orbits for superquadratic Hamiltonian systems without a periodicity assumption
• Existence and multiplicity of homoclinic orbits for second order Hamiltonian systems without \((AR)\) condition
• Infinitely many homoclinic solutions for second-order Hamiltonian systems with odd nonlinearities
• Homoclinic solutions for a class of second order Hamiltonian systems with locally defined potentials
• Infinitely many homoclinic orbits for the second-order Hamiltonian systems with super-quadratic potentials
• Critical point theory and Hamiltonian systems
• A note on homoclinic orbits for second-order Hamiltonian systems
• Existence of homoclinic orbits for asymptotically periodic systems involving Duffing-like equation
• Infinitely many homoclinic orbits for the second-order Hamiltonian systems
• Perturbation theory for linear operators.
• Some results on connecting orbits for a class of Hamiltonian systems
• Minimax theorems
• Multiplicity and concentration of homoclinic solutions for some second order Hamiltonian systems
• Homoclinic solutions for nonautonomous second order Hamiltonian systems with a coercive potential
• Homoclinic Orbits for Second Order Hamiltonian Systems Possessing Superquadratic Potentials
• Existence and multiplicity results for homoclinic solutions to a class of Hamiltonian systems
• On an Elliptic Equation with Concave and Convex Nonlinearities
• Multiple Homoclinic Solutions for Second‐Order Perturbed Hamiltonian Systems

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