On the Existence of Positive Solutions for the Second-Order Boundary Value Problem

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This paper is concerned with the existence of positive solutions to a second order boundary value problem. By imposing growth conditions on f and using a generalization of the Leggett-Williams fixed point theorem, we prove the existence of at least three symmetric positive solutions. (C) 2015 Elsevier Ltd. All rights reserved.

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Boundary Value Problem, Green's Function, Multiple Solution, Fixed Point Theorem, Fixed point theorem, Multiple solution, Green's function, Boundary value problem, multiple solution, Applications of operator theory to differential and integral equations, fixed point theorem, Positive solutions to nonlinear boundary value problems for ordinary differential equations, Green's functions for ordinary differential equations, boundary value problem

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0101 mathematics, 01 natural sciences

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