𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Positive solutions to a type of nonlinear three-point boundary value problem with sign changing nonlinearities

✍ Scribed by Gaoshang Li; Xiping Liu; Mei Jia

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
497 KB
Volume
57
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, by using Krasnoselskii's Fixed Point Theorem in a cone, we study the existence of positive solutions for the second-order three-point boundary value problem

where 0 < Ξ±, Ξ· < 1 and f is allowed to change sign. We also give some examples to illustrate our results.

πŸ“œ SIMILAR VOLUMES

Positive solutions of singular dirichlet
Positive solutions of singular dirichlet boundary value problems with sign-changing nonlinearities
✍ G.C. Yang πŸ“‚ Article πŸ“… 2006 πŸ› Elsevier Science 🌐 English βš– 323 KB

By a new approach, we present a new existence result of positive solutions to the following Dirichlet boundary value problem, It is remarkable that the result of this paper is not obtained by employing the fixed-point theorems in cone and the method of the lower and upper functions. Our nonlinearit