Twin positive periodic solutions of second order singular differential systems

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

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'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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