Existence of positive solutions for a system of semipositone coupled discrete boundary value problems |
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Authors: | Johnny Henderson |
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Institution: | Department of Mathematics, Baylor University, Waco, Texas, 76798-7328, USA |
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Abstract: | We study the existence of positive solutions for a system of nonlinear second-order difference equations with parameters and sign-changing nonlinearities, subject to multi-point coupled boundary conditions. In the proof of our main theorems we use the nonlinear alternative of Leray-Schauder type and the Guo-Krasnosel'skii fixed point theorem. |
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Keywords: | Difference equations multi-point coupled boundary conditions positive solutions sign-changing nonlinearities |
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