A new result on the existence of periodic solutions for Rayleigh equation with a singularity

Abstract In this paper, we study the existence of periodic solutions for Rayleigh equation with a singularity of repulsive type x ″ ( t ) + f ( x ′ ( t ) ) + φ ( t ) x ( t ) − 1 x α ( t ) = p ( t ) , $$x''(t)+f\bigl(x'(t)\bigr)+\varphi (t)x(t)-\frac{1}{x^{\alpha }(t)}=p(t), $$ where α...

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Bibliographic Details
Main Authors: Yuanzhi Guo, Yajiao Wang, Dongxue Zhou
Format: Article
Language:English
Published: SpringerOpen 2017-12-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-017-1449-y