Positive Solutions to Boundary Value Problems for Second Order Ordinary Differential Equations with Singular Nonlinearities |
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| Authors: | Weigao Ge Jean Mawhin |
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| Affiliation: | 1. Department of Applied Mathematics, Beijing Institute of Technology, Beijing, 100081, China
2. Institut de Mathématique, Université Catholique de Louvain, B-1348 Louvain-la-Neuve, Belgium
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| Abstract: | This paper deals with the existence of solutions to the periodic and the Sturm-Liouville boundary value problems for second order ordinary differential equations with singular nonlinearity. The results are obtained by use of some continuation theorems in the absence of a priori bounds of Capietto-Mawhin-Zanolin. |
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