Positive Solutions for a Nonlinear Three-point Boundary-value Problem
Date
1999-09-15
Authors
Ma, Ruyun
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We study the existence of positive solutions to the boundary-value problem
u'' + α(t)ƒ(u) = 0, t ∈ (0,1)
u(0) = 0, αu(ƞ) = u(1),
where 0 < ƞ < 1 and 0 < α < 1/ƞ. We show the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem in cones.
Description
Keywords
Second-order multi-point BVP, Positive solution, Cone, Fixed point
Citation
Ma, R. (1999). Positive solutions for a nonlinear three-point boundary-value problem. <i>Electronic Journal of Differential Equations, 1999</i>(34), pp. 1-8.
Rights
Attribution 4.0 International