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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.