Periodic solutions for Lienard differential equations with singularities

In this article, we study the second-order forced Lienard equation x''+f(x)x'+g(x)=e(t). By using the topological degree theory, we prove that the equation has at least one positive periodic solution when g admits a repulsive singularity near the origin and satisfies some semiline...

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Bibliographic Details
Main Authors: Shengjun Li, Fang-fang Liao, Wenya Xing
Format: Article
Language:English
Published: Texas State University 2015-06-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/151/abstr.html