On the existence of positive solutions for three-point boundary value problems with alternating coefficients
β Scribed by Ilkay Yaslan Karaca
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 292 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In this paper, we consider the multipoint boundary value problem for the one-dimensional p-Laplacian (Ο p (u )) + q(t) f (t, u(t), u (t)) = 0, t β (0, 1), subject to the boundary conditions: where Ο p (s) = |s| p-2 s, p > 1, ΞΎ i β (0, 1) with 0 < ΞΎ 1 < ΞΎ 2 < β’ β’ β’ < ΞΎ m-2 < 1 and a i β [0, 1), 0 β€
This paper investigates the following singular systems of nonlinear second-order three-point boundary value problems where Ξ· β (0, 1), 0 < Ξ±Ξ· < 1, f and g may be singular at t = 0 and/or t = 1. Under some weaker conditions the existence of positive solutions is obtained by applying the fixed point