Positive solutions for singular three-point boundary-value problems with sign changing nonlinearities depending on x′

Date

2007-04-25

Authors

Chen, Yun
Yan, Baoqiang
Zhang, Lili

Journal Title

Journal ISSN

Volume Title

Publisher

Texas State University-San Marcos, Department of Mathematics

Abstract

Using a fixed point theorem in cones, this paper shows the existence of positive solutions for the singular three-point boundary-value problem x″(t) + α(t)ƒ(t, x(t), x′(t)) = 0, 0 < t < 1, x′(0) = 0, x(1) = αx(η), where 0 < α < 1, 0 < η < 1, and ƒ may change sign and may be singular at x = 0 and x′ = 0.

Description

Keywords

Three-point boundary value problem, Singularity, Positive solutions, Fixed point theorem

Citation

Chen, Y., Yan, B., & Zhang, L. (2007). Positive solutions for singular three-point boundary-value problems with sign changing nonlinearities depending on x′. <i>Electronic Journal of Differential Equations, 2007</i>(63), pp. 1-9.

Rights

Attribution 4.0 International

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