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

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Abstract

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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Keywords

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

Fields of Science

0101 mathematics, 01 natural sciences

Citation

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OpenCitations Citation Count
6

Volume

49

Issue

4

Start Page

107

End Page

112