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 โฅ 1 and has countably many singularities in [0, 1 2 ). The associated Green'
Existence of countably many positive solutions of th-order -point boundary value problems
โ 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.
โฆ 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.
๐ SIMILAR VOLUMES
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 โ (0, 1) with 0 ) and has countably many singularit
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.
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