Positive solutions for a class of boundary-value problem with integral boundary conditions in Banach spaces |
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| Authors: | Meiqiang Feng Dehong Ji Weigao Ge |
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| Institution: | 1. Department of Fundamental Sciences, Beijing Information Technology Institute, Beijing, 100101, PR China;2. Department of Applied Mathematics, Beijing Institute of Technology, Beijing, 100081, PR China |
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| Abstract: | This paper investigates the existence and multiplicity of positive solutions for a class of nonlinear boundary-value problem of second-order differential equations with integral boundary conditions in ordered Banach spaces. The arguments are based upon a specially constructed cone and the fixed point theory in a cone for strict set contraction operators. The nonexistence of a positive solution is also studied. |
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| Keywords: | 34B15 |
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