Fourth-order four-point boundary value problem on time scales
β Scribed by Ilkay Yaslan Karaca
- Book ID
- 108052391
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 217 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0893-9659
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π SIMILAR VOLUMES
The authors obtain some existence criteria for positive solutions of a higher order semipositone multi-point boundary value problem on a time scale. Applications to some special problems are also discussed. This work extends and complements many results in the literature on this topic.
This paper is concerned with the fourth-order four-point boundary value problem where Ξ·, ΞΎ β (0, 1) and a, b β₯ 0. The upper and lower solution method and a new maximum principle are employed to establish existence results and we release the increasing condition imposed on f (t, u, v).
This paper deals with the existence of positive solutions for the fourth-order nonlinear ordinary differential equation subject to the boundary conditions: where Ξ±, Ξ², Ξ³ , Ξ΄ β₯ 0 are constants such that Ο = Ξ±Ξ΄ + Ξ±Ξ³ + Ξ²Ξ΄ > 0, and ΞΎ i β (0, 1), By means of a fixed-point theorem due to Krasnaselskii,