Existence Results for Singular Boundary Value Problems on Unbounded Domains in Banach Spaces |
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| Authors: | Smaïl Djebali Fadila Madjidi Karima Mebarki |
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| Affiliation: | 1. Laboratory “Théorie du Point Fixe and Applications”, école Normale Supérieure, BP 92, 16050, Kouba, Algiers, Algeria
2. Laboratory of Applied Mathematics, Faculty of Exact Sciences, A. Mira University, 06000, Bej?ia, Algeria
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| Abstract: | In this paper, the Krasnosels’kii fixed point theorem in cones for strict set-contractions is used to investigate the existence of single and twin positive solutions for a class of a two-point boundary value problem of second-order nonlinear differential equations posed on an infinite interval. The nonlinearity, which may have a time-singularity, takes values in a general Banach space and has at most polynomial growth with respect to the unknown. |
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