Double solutions of three-point boundary-value problems for second-order differential equations
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.
Citation
Henderson, J. (2004). Double solutions of three-point boundary-value problems for second-order differential equations. Electronic Journal of Differential Equations, 2004(115), pp. 1-7.Rights License
This work is licensed under a Creative Commons Attribution 4.0 International License.
