Existence of positive periodic solutions for Liénard equations with an indefinite singularity of attractive type

Abstract In this paper, we study the periodic problem for the Liénard equation with an indefinite singularity of attractive type x″+f(x)x′+φ(t)x+r(t)xμ=0, $$ x''+f(x)x'+\varphi (t)x+\frac{r(t)}{x^{\mu }}=0, $$ where f:(0,+∞)→R $f:(0,+\infty )\rightarrow R$ is continuous and may have s...

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Bibliographic Details
Main Authors: Shiping Lu, Xingchen Yu
Format: Article
Language:English
Published: SpringerOpen 2018-06-01
Series:Boundary Value Problems
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13661-018-1020-0