Homoclinic solutions for a class of subquadratic second-order Hamiltonian systems

From MaRDI portal
Publication:710903

DOI10.1016/j.jmaa.2010.06.038zbMath1230.37079OpenAlexW1983257378WikidataQ60199363 ScholiaQ60199363MaRDI QIDQ710903

Haibo Chen, Juntao Sun, Juan. J. Nieto

Publication date: 22 October 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.2010.06.038




Related Items

Multiple homoclinic orbits for second order discrete Hamiltonian systems without symmetric conditionMultiple homoclinic solutions for a class of nonhomogeneous Hamiltonian systemsNew homoclinic solutions for a class of second-order Hamiltonian systems with a mixed conditionMultiple results of damped systems with general nonlinearitiesFast homoclinic solutions for damped vibration problems with superquadratic potentialsInfinitely many homoclinic solutions for a nonperiodic fourth-order differential equation without (AR)-conditionHomoclinic solutions for \(p(t)\)-Laplacian-Hamiltonian systems without coercive conditionsOn ground-state homoclinic orbits of a class of superquadratic damped vibration systemsHomoclinic solutions for \(p\)-Laplacian Hamiltonian systems with combined nonlinearitiesOn homoclinic orbits for a class of damped vibration systemsExistence of two almost homoclinic solutions for \(p(t)\)-Laplacian Hamiltonian systems with a small perturbationExistence and exponential stability of periodic solutions for a class of Hamiltonian systems on time scalesExistence of homoclinic solutions for nonlinear second-order problemsInfinitely many homoclinic solutions for a class of damped vibration problemsHomoclinic solutions for second-order discrete Hamiltonian systems with asymptotically quadratic potentialsInfinitely many homoclinic solutions for damped vibration problems with subquadratic potentialsInfinitely many solutions for a class of sublinear Schrödinger-Maxwell equationsSubharmonic solutions with prescribed minimal period for some second-order impulsive differential equationsSufficient conditions for the existence of heteroclinic solutions for -Laplacian differential equationsExistence of homoclinic orbits for a singular differential equation involving \(p\)-LaplacianExistence of homoclinic solutions for a class of second-order Hamiltonian systems with general potentialsExistence and nonuniqueness of homoclinic solutions for second-order Hamiltonian systems with mixed nonlinearitiesExistence and multiplicity of homoclinic orbits for second-order Hamiltonian systems with superquadratic potentialHomoclinic solutions for a second-order nonperiodic asymptotically linear Hamiltonian systemsInfinitely many homoclinic solutions for some second order Hamiltonian systemsInfinitely many homoclinic solutions for a class of second-order Hamiltonian systemsHomoclinic orbits for a class of subquadratic second order Hamiltonian systemsOn homoclinic solutions for first-order superquadratic Hamiltonian systems with spectrum point zeroGround state homoclinic orbits of damped vibration problemsInfinitely many homoclinic solutions for a class of subquadratic second-order Hamiltonian systemsOn ground state solutions for some non-autonomous Schrödinger-Poisson systemsHomoclinic orbits for second-order Hamiltonian systems with subquadratic potentialsHomoclinic orbits for the second-order Hamiltonian systemsHomoclinic solutions for a class of second order Hamiltonian systemsNon-periodic damped vibration systems with sublinear terms at infinity: infinitely many homoclinic orbitsMultiplicity and concentration of homoclinic solutions for some second order Hamiltonian systemsMultiple solutions for a class of fractional Hamiltonian systemsExistence and multiplicity of homoclinic solutions for a class of damped vibration problemsMultiple homoclinics for nonperiodic damped systems with superlinear termsHomoclinic solutions for a second-order Hamiltonian system with a positive semi-definite matrixSubharmonic and homoclinic solutions for second order Hamiltonian systems with new superquadratic conditionsHomoclinic orbits for a class of second-order Hamiltonian systems without a coercive potentialExistence of homoclinic solutions for second order Hamiltonian systems with general potentialsHomoclinic orbits for damped vibration systems with asymptotically quadratic or subquadratic potentialsGround state homoclinic orbits of superquadratic damped vibration systemsHomoclinic orbits for second order discrete Hamiltonian systems with general potentialsExistence of homoclinic solutions for a class of second-order Hamiltonian systems with locally subquadratic potentialsHeteroclinic solutions for classical and singular \(\phi\)-Laplacian non-autonomous differential equationsHomoclinic solutions for a class of second order Hamiltonian systems with locally defined potentialsHomoclinic orbits for a class of asymptotically quadratic Hamiltonian systemsNonperiodic damped vibration systems with asymptotically quadratic terms at infinity: infinitely many homoclinic orbitsTWO ALMOST HOMOCLINIC SOLUTIONS FOR A CLASS OF PERTURBED HAMILTONIAN SYSTEMS WITHOUT COERCIVE CONDITIONSNontrivial solutions for an elliptic system of Hamiltonian type



Cites Work