A new result on the existence of periodic solutions for Liénard equations with a singularity of repulsive type

A new result on the existence of periodic solutions for Liénard equations with a singularity of repulsive type

Abstract In this paper, the problem of the existence of a periodic solution is studied for the second order differential equation with a singularity of repulsive type x ″ ( t ) + f ( x ( t ) ) x ′ ( t ) − g ( x ( t ) ) + φ ( t ) x ( t ) = h ( t ) , $$x''(t)+f\bigl(x(t)\bigr)x'(t)-g\bi...

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Bibliographic Details
Main Author: Shiping Lu
Format: Article
Language:English
Published: SpringerOpen 2017-02-01
Series:Journal of Inequalities and Applications
Subjects:
Liénard equation
topological degree
singularity
periodic solution
Online Access:http://link.springer.com/article/10.1186/s13660-016-1285-8

Internet

http://link.springer.com/article/10.1186/s13660-016-1285-8

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