Positive solutions of boundary-value problems for disfocal ordinary differential equations |
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Institution: | Department of Mathematics, University of Dayton, Dayton, OH 45469-2316, USA |
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Abstract: | We study the existence of positive solutions of a nonlinear eigenvalue problem for a two-point boundary-value problem for a family of second-order disfocal ordinary differential equations. We apply a cone-theoretic fixed-point theorem and obtain both sufficient conditions for the existence of positive solutions and sufficient conditions for the existence of multiple positive solutions. |
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