Damped vibration problems with nonlinearities being sublinear at both zero and infinity | Zendy

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Damped vibration problems with nonlinearities being sublinear at both zero and infinity

Author(s) -

Chen Guanwei

Publication year - 2016

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.3584

Subject(s) - sublinear function , mathematics , infinity , zero (linguistics) , vibration , class (philosophy) , fountain , mathematical analysis , computer science , acoustics , physics , philosophy , linguistics , archaeology , artificial intelligence , history

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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