Twin positive periodic solutions of second order singular differential systems

Xiaoning Lin, Daqing Jiang, Donal O'Regan, Ravi P. Agarwal

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'skiń≠ 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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