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Positive periodic solutions for nonlinear repulsive singular difference equations |
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| Authors: | Xiong Li Jing Zhang |
| Institution: | 1. Laboratory of Mathematics and Complex Systems , School of Mathematical Sciences, Beijing Normal University , Ministry of Education, Beijing, 100875, P. R. China xli@bnu.edu.cn;3. Laboratory of Mathematics and Complex Systems , School of Mathematical Sciences, Beijing Normal University , Ministry of Education, Beijing, 100875, P. R. China |
| Abstract: | The existence and multiplicity of positive solutions are established to the periodic boundary value problems for repulsive singular nonlinear difference equations. The proof relies on a nonlinear alternative of Leray–Schauder type and on Krasnoselskii fixed point theorem on compression and expansion of cones. |
| Keywords: | repulsive singular difference equations positive periodic solution Krasnoselskii fixed point theorem Green's function |