On periodic solutions of second-order differential equations with attractive–repulsive singularities

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Abstract

Sufficient conditions for the existence of a solution to the problemu(t)=g(t)uμ(t)h(t)uλ(t)+f(t)for a.e.t[0,ω],u(0)=u(ω),u(0)=u(ω) are established.

MSC

34B18
34C25

Keywords

Second-order ordinary differential equation
Singular equation
Periodic solution
Positive solution

Cited by (0)

1

Supported by the Academy of Sciences of the Czech Republic, Institutional Research Plan No. AV0Z10190503.

2

Supported by Ministerio de Educación y Ciencia, Spain, Project MTM2008-02502, and by Junta de Andalucía, Spain, Project FQM2216.