Damped vibration problems with sign-changing nonlinearities: infinitely many periodic solutions

Abstract We obtain infinitely many nontrivial periodic solutions for a class of damped vibration problems, where nonlinearities are superlinear at infinity and primitive functions of nonlinearities are allowed to be sign-changing. By using some weaker conditions, our results extend and improve some...

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Bibliographic Details
Main Authors: Zhen Peng, Haiyan Lv, Guanwei Chen
Format: Article
Language:English
Published: SpringerOpen 2017-09-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-017-0873-y