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