Periodic solutions of superquadratic damped vibration problems

Guanwei Chen

Applied Mathematics and Computation, 2015, vol. 270, issue C, 794-801

Abstract: In this paper, we study a class of damped vibration problems with superquadratic terms at infinity. By using variational methods, we obtain infinitely many nontrivial periodic solutions under conditions weaker than those previously assumed. To the best of our knowledge, there is no published result focusing on this case by the method used in this paper.

Keywords: Damped vibration problems; Infinitely many nontrivial periodic solutions; Superquadratic; Variational methods (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:270:y:2015:i:c:p:794-801

DOI: 10.1016/j.amc.2015.08.095

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