Subharmonic and homoclinic solutions for second order Hamiltonian systems with new superquadratic conditions

Dong-Lun Wu, Chun-Lei Tang and Xing-Ping Wu

Chaos, Solitons & Fractals, 2015, vol. 73, issue C, 183-190

Abstract: The existence of infinitely many subharmonic solutions is obtained for a class of nonautonomous second order Hamiltonian systems with a new superquadratic condition. Furthermore, we can get the existence of homoclinic solutions as the limit of subharmonics under a stronger superquadratic condition which is still weaker than the growth conditions in the references.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:73:y:2015:i:c:p:183-190

DOI: 10.1016/j.chaos.2015.01.019

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