Positive solutions for third-order boundary value problems with change of signs
β Scribed by Yanyan Wu; Zengqin Zhao
- Book ID
- 113439742
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 188 KB
- Volume
- 218
- Category
- Article
- ISSN
- 0096-3003
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
For the 2nth-order boundary value problem c~y (2i) (0) -fliy (2i+1) (0) = a~y (2i) (1) +/3~y (2i+1) (1) = 0, O 1, growth conditions are imposed on f which yield the existence of at least two symmetric positive solutions by using the fixed-point theorem in double cones.
In this paper, by using the fixed point index method, we establish the existence of at least one or at least two positive solutions for the third-order Sturm-Liouville boundary value problem with p-Laplacian where Ο p (s) = |s| p-2 s, p > 1. As an application, an example is given to demonstrate the