Double solutions of three-point boundary-value problems for second-order differential equations
Date
2004-10-05
Authors
Henderson, Johnny
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
A double fixed point theorem is applied to yield the existence of at least two nonnegative solutions for the three-point boundary-value problem for a second-order differential equation,
y'' + ƒ(y) = 0, 0 ≤ t ≤ 1,
y(0) = 0, y(p) - y(1) = 0,
where 0 < p < 1 is fixed, and ƒ : ℝ → [0, ∞) is continuous.
Description
Keywords
Fixed point theorem, Three-point, Boundary-value problem
Citation
Henderson, J. (2004). Double solutions of three-point boundary-value problems for second-order differential equations. <i>Electronic Journal of Differential Equations, 2004</i>(115), pp. 1-7.
Rights
Attribution 4.0 International