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
The existence of countably many positive solutions for a system of nonlinear singular boundary value problems with the p-Laplacian operator
โ Scribed by Hua Su; Zhongli Wei; Fuyi Xu
- Book ID
- 108175498
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 169 KB
- Volume
- 325
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
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