๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Existence of countably many positive solutions of th-order -point boundary value problems

โœ Scribed by Sihua Liang; Jihui Zhang


Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
572 KB
Volume
224
Category
Article
ISSN
0377-0427

No coin nor oath required. For personal study only.

โœฆ Synopsis


The fixed point index theory and a new fixed point theorem in cones are used to prove the existence of countably many positive solutions of nth-order m-point nonlinear boundary value problems.


๐Ÿ“œ SIMILAR VOLUMES


The existence of countably many positive
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'

The existence of countably many positive
โœ Sihua Liang; Jihui Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 176 KB

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 singularit

The existence of countably many positive
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
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