Abstract
Using the theory of fixed point index, this paper discusses the existence of at least one positive solution and the existence of multiple positive solutions for the singular three-point boundary value problem: y″(t) + a(t)f(t, y(t), y′(t)) = 0, 0 < t < 1, y′(0) = 0, y(1) = αy(η), where 0 < α < 1, 0 < η < 1, and f may be singular at y = 0 and y′ = 0.
| Original language | English |
|---|---|
| Journal | Electronic Journal of Differential Equations |
| Volume | 2008 |
| Publication status | Published - 25 Aug 2008 |
Keywords
- Fixed point index
- Positive solutions
- Singularity
- Three-point boundary value problems