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Multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces |
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| Authors: | Daqing Jiang Ravi P. Agarwal |
| Affiliation: | a Department of Mathematics, Northeast Normal University, Changchun 130024, Jilin, PR China b Department of Mathematics, National University of Ireland, Galway, Ireland c Department of Mathematical Science, Florida Institute of Technology, Melbourne, FL 32901-6975, USA |
| Abstract: | The existence of multiple positive solutions to superlinear periodic boundary value problems with repulsive singular forces is discussed in this paper. Our nonlinearity may be singular in its dependent variable and our analysis relies on a nonlinear alternative of Leray-Schauder type and on a fixed point theorem in cones. |
| Keywords: | Superlinear singular periodic problem Positive solution Leray-Schauder alternative Fixed point theorem in cones |
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