In this paper, we study the existence of positive solution for two classes of nonlinear second-order three-point boundary value problems using some monotone iteratlve schemes In both cases, such schemes start off with known constant functions and, therefore, are useful to computation purpose.
Successive iteration and positive solutions for some second-order three-point -Laplacian boundary value problems
โ Scribed by Bo Sun; Aijun Yang; Weigao Ge
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 458 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
โฆ Synopsis
In this paper, we study the existence of positive solutions for two classes of secondorder three-point p-Laplacian boundary value problems, by applying a monotone iterative method.
๐ SIMILAR VOLUMES
In this paper, a new fixed-point theorem of functional type in a cone is established. With using the new fixed-point theorem and imposing growth conditions on the nonlinearity, the existence of three positive solutions for the boundary value problem x"(O+f(t,x(t),x'(t))=O , 0<t<l, x(0) = x(1) = 0,
We establish the existence of at least three positive solutions to the second-order three-point boundary value problem, u + f t u = 0 u 0 = 0 ฮฑu ฮท = u 1 , where ฮท 0 < ฮท < 1 0 < ฮฑ < 1/ฮท, and f 0 1 ร 0 โ โ 0 โ is continuous. We accomplish this by making growth assumptions on f which can apply to many