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.
Higher order -point boundary value problems on time scales
✍ Scribed by İsmail Yaslan
- Book ID
- 113512218
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 276 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0898-1221
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📜 SIMILAR VOLUMES
Solutions, boundary value problems, lower and upper solutions, Nagumo condition, fixed point theorem MSC (2010) 34B15, 34B18 We consider the boundary value problem u, u , . . . , u (n -1) = 0, t ∈ (0, 1), where n ≥ 2 and m ≥ 1 are integers, tj ∈ [0, 1] for j = 1, . . . , m, and f and gi , i = 0, .
In this paper, we study the existence of solutions of periodic boundary value problem for second-order nonlinear dynamic equations on time scales. For this purpose, we use two methods here. First, sign properties of the Green's function are investigated and existence results of bounded solutions of