Spectral properties and nodal solutions for second-order, -point, boundary value problems
β Scribed by Bryan P. Rynne
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 260 KB
- Volume
- 67
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
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 Ξ±u Ξ· = u 1 , where Ξ· 0 < Ξ· < 1 0 < Ξ± < 1/Ξ·, and f 0 1 Γ 0 β β 0 β is continuous. We accomplish this by making growth assumptions on f which can apply to many
In this paper, we consider the following boundary value problem with a p-Laplacian By using a generalization of the Leggett-Williams fixed-point theorem due to Avery and Peterson, we provide sufficient conditions for the existence of at least three positive solutions to the above problem. The empha