### Twin positive periodic solutions of second order singular differential systems

DOI: http://dx.doi.org/10.12775/TMNA.2005.013

#### Abstract

In this paper, we study positive periodic solutions to

singular second order differential systems. It

is proved that such a problem has at least two

positive periodic solutions. The proof relies on a nonlinear

alternative of Leray-Schauder type and on Krasnosel'skiĭ fixed

point theorem on compression and expansion of cones.

singular second order differential systems. It

is proved that such a problem has at least two

positive periodic solutions. The proof relies on a nonlinear

alternative of Leray-Schauder type and on Krasnosel'skiĭ fixed

point theorem on compression and expansion of cones.

#### Keywords

Singular problem; positive periodic solution; fixed point theorem in cones; Leray-Schauder alternative

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