Positive solutions for singular three-point boundary-value problems with sign changing nonlinearities depending on x′
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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′. Electronic Journal of Differential Equations, 2007(63), pp. 1-9.
Rights
Attribution 4.0 International