Twin positive solutions for fourth-order two-point boundary-value problems with sign changing nonlinearities
Date
2004-12-03
Authors
Tian, Yu
Ge, Weigao
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
A new fixed point theorem on double cones is applied to obtain the existence of at least two positive solutions to
(Φp(y''(t))'' - ɑ(t)ƒ (t, y(t), y''(t)) = 0, 0 < t < 1,
y(0) = y(1) = 0 = y''(0) = y''(1),
where ƒ : [0, 1] x [0, ∞) x (-∞, 0] → R, ɑ ∈ L<sup>1</sup> ([0, 1], (0, ∞)). We also give some examples to illustrate our results.
Description
Keywords
Fourth-order two-point boundary-value problem, Fixed point theorem, Double cones, Positive solutions
Citation
Tian, Y., & Ge, W. (2004). Twin positive solutions for fourth-order two-point boundary-value problems with sign changing nonlinearities. <i>Electronic Journal of Differential Equations, 2004</i>(143), pp. 1-8.
Rights
Attribution 4.0 International
Rights Holder
This work is licensed under a Creative Commons Attribution 4.0 International License.