Homoclinic solutions for a class of second-order Hamiltonian systems

From MaRDI portal
Publication:5901974

DOI10.1016/J.JMAA.2008.12.052zbMath1179.37082OpenAlexW2057981153MaRDI QIDQ5901974

Xian Hua Tang, Xiaoyan Lin

Publication date: 19 May 2009

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.2008.12.052




Related Items (71)

On a damped vibration problem involving \(p\)-Laplacian operator: fast homoclinic orbitsExistence and multiplicity of weak quasi-periodic solutions for second order Hamiltonian systemNew conditions on homoclinic solutions for a subquadratic second order Hamiltonian systemOn ground-state homoclinic orbits of a class of superquadratic damped vibration systemsOn homoclinic orbits for a class of damped vibration systemsExistence of two almost homoclinic solutions for \(p(t)\)-Laplacian Hamiltonian systems with a small perturbationInfinitely many homoclinic solutions for a class of indefinite perturbed second-order Hamiltonian systemsInfinitely many solutions for fractional Hamiltonian systems with locally defined potentialsFast homoclinic solutions for a class of damped vibration problemsEven homoclinic orbits for a class of damped vibration systemsExistence of nontrivial weak homoclinic orbits for second-order impulsive differential equationsExistence of homoclinic solutions for a class of second-order Hamiltonian systems with subquadratic growthHomoclinic solutions for a nonlinear second order differential system with \(p\)-Laplacian operatorHomoclinic solutions for a class of second-order \(p\)-Laplacian differential systems with delayLocal super-quadratic conditions on homoclinic solutions for a second-order Hamiltonian systemExistence of homoclinic solutions for \(p(n)\)-Laplacian Hamiltonian systems on Orlicz sequence spacesFast homoclinic orbits for a class of damped vibration systemsSome multiplicity results of homoclinic solutions for second order Hamiltonian systemsUnnamed ItemOn the existence of homoclinic orbits in nonautonomous second-order differential equationsInfinitely many homoclinic orbits for \(2n\)th-order nonlinear functional difference equations involving the \(p\)-LaplacianFast homoclinic solutions for some second order non-autonomous systemsHomoclinic solutions for a kind of neutral differential systemsExistence of homoclinic solutions for a class of second-order Hamiltonian systems with general potentialsHomoclinic solutions for ordinary \(p\)-Laplacian systemsHomoclinic solutions for a second-order nonperiodic asymptotically linear Hamiltonian systemsInfinitely many homoclinic orbits for Hamiltonian systems with indefinite sign subquadratic potentialsInfinitely many fast homoclinic solutions for a class of superquadratic damped vibration systemsInfinitely many homoclinic solutions for nonautonomous \(p(t)\)-Laplacian Hamiltonian systemsUnnamed ItemHomoclinic solutions for \(n\)-dimensional \(p\)-Laplacian neutral differential systems with a time-varying delayInfinitely many homoclinic solutions for a class of second-order Hamiltonian systemsHomoclinic solutions for a class of second-order Hamiltonian systemsHomoclinic solutions for a forced generalized Liénard systemHomoclinic solutions for Hamiltonian systems with variable-order fractional derivativesExistence and multiplicity of fast homoclinic solutions for a class of damped vibration problems with impulsive effectsExistence of fast homoclinic orbits for a class of second-order non-autonomous problemsExistence of homoclinic solutions for a class of second order \(p\)-Laplacian systems with impulsive effectsInfinitely many periodic solutions to a class of perturbed second-order impulsive Hamiltonian systemsFast homoclinic solutions for a class of damped vibration problems with subquadratic potentialsInfinitely many homoclinic solutions for a second-order Hamiltonian system with locally defined potentialsHomoclinic solutions for Rayleigh type \(p\)-Laplacian equations with a deviating argumentExistence of homoclinic solutions for some second-order discrete Hamiltonian systemsMultiple Homoclinic Solutions for Second‐Order Perturbed Hamiltonian SystemsExistence of homoclinic solutions for a class of neutral functional differential equationsMultiplicity and concentration of homoclinic solutions for some second order Hamiltonian systemsHomoclinic solutions for a forced Liénard type systemExistence and multiplicity of homoclinic solutions for a class of damped vibration problemsHomoclinic solutions for a class of asymptotically quadratic Hamiltonian systemsNonexistence of homoclinic orbits for a class of Hamiltonian systemsHomoclinic solutions for a class of subquadratic second-order Hamiltonian systemsExistence of infinitely many homoclinic orbits in discrete Hamiltonian systemsThe existence of heteroclinic orbits for a class of the second-order Hamiltonian systemNew existence of periodic solutions for second order non-autonomous Hamiltonian systemsInfinitely many homoclinic solutions for a second-order Hamiltonian systemHomoclinic solutions for a class of second order Hamiltonian systemsInfinitely many homoclinic orbits for a class of second-order damped differential equationsHomoclinic solutions for a second-order Hamiltonian system with a positive semi-definite matrixNew existence and multiplicity results of homoclinic orbits for a class of second order Hamiltonian systemsExistence of infinitely many homoclinic orbits for a class of aperiodic systems via variational methodsInfinitely many solutions for a class of fractional Hamiltonian systems via critical point theoryHomoclinic solutions of some second order non-autonomous systemsHomoclinic orbits for damped vibration systems with asymptotically quadratic or subquadratic potentialsInfinitely many fast homoclinic solutions of damped vibration systems with superquadratic conditions or combined nonlinearitiesExistence and multiplicity of homoclinic solutions for second-order discrete Hamiltonian systems with subquadratic potentialExistence and uniqueness of positive solitons for a second-order difference equationHomoclinic solutions for second order discrete Hamiltonian systems with superquadratic potentialsEventually vanishing solutions of a forced Liénard systemExistence of homoclinic solutions for a class of second-order Hamiltonian systemsTWO ALMOST HOMOCLINIC SOLUTIONS FOR A CLASS OF PERTURBED HAMILTONIAN SYSTEMS WITHOUT COERCIVE CONDITIONSExistence of homoclinic orbits in discrete Hamiltonian systems without Palais–Smale condition




Cites Work




This page was built for publication: Homoclinic solutions for a class of second-order Hamiltonian systems