Damped vibration problems with nonlinearities being sublinear at both zero and infinity |
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| Authors: | Guanwei Chen |
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| Affiliation: | School of Mathematical Sciences, University of Jinan, Jinan 250022, Shandong, China |
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| Abstract: | In this paper, we study a class of damped vibration problems with nonlinearities being sublinear at both zero and infinity, and we obtain infinitely many nontrivial periodic solutions by using a variant fountain theorem. To the best of our knowledge, there is no published result concerning this case by this method. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | damped vibration problems infinitely many periodic solutions subquadratic at both zero and infinity variational method |
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