Monotone iterative technique and symmetric positive solutions for a fourth-order boundary value problem
โ Scribed by Minghe Pei; Sung Kag Chang
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 469 KB
- Volume
- 51
- Category
- Article
- ISSN
- 0895-7177
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โฆ Synopsis
The purpose of this paper is to investigate the existence of symmetric positive solutions for a class of fourth-order boundary value problem:
By using a monotone iterative technique, we proved that the above boundary value problem has symmetric positive solutions under certain conditions. In particular these solutions are obtained via the iteration procedures.
๐ SIMILAR VOLUMES
In this work, we obtain the existence of quasi-symmetric monotone positive solutions and establish a corresponding iterative scheme for the following three-point boundary value problem: The main tool is the monotone iterative technique. The interesting point is that the nonlinear term involves the
In this paper, we study the existence of positive solutions of fourth-order boundary value problem of our main result is based upon the Krein-Rutman theorem and the global bifurcation techniques.