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Periodic solutions of superquadratic damped vibration problems

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  • Chen, Guanwei

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.

Suggested Citation

  • Chen, Guanwei, 2015. "Periodic solutions of superquadratic damped vibration problems," Applied Mathematics and Computation, Elsevier, vol. 270(C), pages 794-801.
    • Handle: RePEc:eee:apmaco:v:270:y:2015:i:c:p:794-801
    DOI: 10.1016/j.amc.2015.08.095
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