๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Successive iteration and positive solutions for some second-order three-point -Laplacian boundary value problems

โœ 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.

โœฆ 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.


๐Ÿ“œ SIMILAR VOLUMES


Successive iteration and positive soluti
โœ Qingliu Yao ๐Ÿ“‚ Article ๐Ÿ“… 2005 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 517 KB

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.

Existence of three positive solutions fo
โœ Zhanbing Bai; Weigao Ge ๐Ÿ“‚ Article ๐Ÿ“… 2004 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 420 KB

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,

Triple Solutions for Second-Order Three-
โœ Xiaoming He; Weigao Ge ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 83 KB

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 โˆž โ†’ 0 โˆž is continuous. We accomplish this by making growth assumptions on f which can apply to many