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

#### 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

#### Full Text:

FULL TEXT### Refbacks

- There are currently no refbacks.