Twin positive periodic solutions of second order singular differential systems
KeywordsSingular problem, positive periodic solution, fixed point theorem in cones, Leray-Schauder alternative
AbstractIn 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.
How to Cite
LIN, Xiaoning, JIANG, Daqing, O’REGAN, Donal & AGARWAL, Ravi P. Twin positive periodic solutions of second order singular differential systems. Topological Methods in Nonlinear Analysis [online]. 1 June 2005, T. 25, nr 2, s. 263–273. [accessed 5.12.2022].
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