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Multiple symmetric positive solutions for a second order boundary value problem
Authors:Johnny Henderson  H B Thompson
Institution:Department of Mathematics, Auburn University, Auburn, Alabama 36849-531 ; Centre for Applied Dynamical Systems, Mathematical Analysis and Probability, Department of Mathematics, The University of Queensland, Brisbane, Queensland 4072 Australia
Abstract:For the second order boundary value problem, $y'+f(y)=0$, $0\leq t\leq 1$, $y(0)=0=y(1)$, where $f:\, \mathbb{R}\rightarrow 0,\,\infty),$ growth conditions are imposed on $f$ which yield the existence of at least three symmetric positive solutions.

Keywords:Boundary value problem  Green's function  multiple solutions
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