๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

The existence of countably many positive solutions for nonlinear singular -point boundary value problems

โœ Scribed by Sihua Liang; Jihui Zhang

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
176 KB
Volume
214
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

โœฆ Synopsis

In this paper, we study the existence of countably many positive solutions for nonlinear singular boundary value problem

subject to the boundary value conditions:

where : R โ†’ R is an increasing homeomorphism and positive homomorphism and (0)=0, i โˆˆ (0, 1) with 0 ) and has countably many singularities in [0, 1 2 ). We show that there exist countably many positive solutions by using the fixed-point index theory and a new fixed-point theorem in cones.

๐Ÿ“œ SIMILAR VOLUMES

The existence of countably many positive
The existence of countably many positive solutions for nonlinear singular -point boundary value problems on the half-line
โœ Sihua Liang; Jihui Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 657 KB

In this paper, by introducing a new operator, improving and generating a p-Laplace operator for some p > 1, we study the existence of countably many positive solutions for nonlinear boundary value problems on the half-line where ฯ• : R โ†’ R is the increasing homeomorphism and positive homomorphism an

The existence of countably many positive
The existence of countably many positive solutions for singular multipoint boundary value problems
โœ Dehong Ji; Zhanbing Bai; Weigao Ge ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 549 KB

In this paper, we study the existence of countably many positive solutions for a singular multipoint boundary value problem. By using fixed-point index theory and the Leggett-Williams' fixed-point theorem, sufficient conditions for the existence of countably many positive solutions are established.

The existence of countably many positive
The existence of countably many positive solutions for some nonlinear th order -point boundary value problems
โœ Yude Ji; Yanping Guo ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 772 KB

In this paper, we consider the existence of countably many positive solutions for nth-order m-point boundary value problems consisting of the equation with one of the following boundary value conditions: [0, 1] for some p โ‰ฅ 1 and has countably many singularities in [0, 1 2 ). The associated Green'