Non-periodic damped vibration systems with sublinear terms at infinity: infinitely many homoclinic orbits

DOI10.1016/j.na.2013.07.018zbMath1346.49026OpenAlexW1996964355MaRDI QIDQ2254303

Guan-Wei Chen

Publication date: 4 February 2015

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2013.07.018

zbMATH Keywords

homoclinic orbitsFountain theoremsublinearitynon-periodic damped vibration systems

Mathematics Subject Classification ID

Hamilton's equations (70H05) Existence theories in calculus of variations and optimal control (49J99)

Related Items

Existence of homoclinic solutions for a class of damped vibration problems ⋮ Multiple results of damped systems with general nonlinearities ⋮ On ground-state homoclinic orbits of a class of superquadratic damped vibration systems ⋮ Ground state homoclinic orbits of damped vibration problems ⋮ Multiple homoclinics for nonperiodic damped systems with superlinear terms ⋮ Existence results for impulsive damped vibration systems ⋮ Existence of Chaos in the Chen System with Linear Time-Delay Feedback ⋮ Infinitely many homoclinic orbits for a class of second-order damped differential equations ⋮ Homoclinic orbits for damped vibration systems with asymptotically quadratic or subquadratic potentials ⋮ Ground state homoclinic orbits of superquadratic damped vibration systems ⋮ Nonperiodic damped vibration systems with asymptotically quadratic terms at infinity: infinitely many homoclinic orbits

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