Existence of solutions for first-order multi-point problems with changing-sign nonlinearity |
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Authors: | Douglas R Anderson |
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Institution: | 1. Department of Mathematics and Computer Science , Concordia College , Moorhead, MN, 56562, USA andersod@cord.edu |
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Abstract: | In this study, conditions for the existence of at least one positive solution to a nonlinear first-order multi-point eigenvalue problem on time scales are discussed. Here the nonlinearity is allowed to take on negative values. The results, which are new for differential/difference equations as well as arbitrary time scales, are based on the Guo–Krasnosel'skii fixed point theorem. |
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Keywords: | time scales positive solutions cone fixed point theorem |
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