Periodic solutions of singular second order equations at resonance

Authors
Wu, Yin Yin Qian, Ding Bian
Citation
Wu, Yin Yin et Qian, Ding Bian, Periodic solutions of singular second order equations at resonance, Acta mathematica Sinica. English series (Print) , 31(10), 2015, pp. 1599-1610
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
31
Issue
10
Year of publication
2015
Pages
1599 - 1610
Database
ACNP
SICI code
Abstract
In this paper, we study the existence of positive periodic solutions for singular second order equations x..+n24x+h(x)=p(t), where h has a singularity at the origin and n is a positive integer. We give an explicit condition to ensure the existence of positive periodic solutions when h is an unbounded perturbation at infinity by using qualitative analysis and topological degree theory.