Existence of Solutions for a Higher Order Multi-Point Boundary Value Problem
โ Scribed by John R. Graef; Lingju Kong; Bo Yang
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 605 KB
- Volume
- 53
- Category
- Article
- ISSN
- 1422-6383
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In the case where a nonlinearity may change sign and contains higher derivatives, we consider the existence of nontrivial solutions for a class of higher order multi-point boundary value problems. Some sufficient conditions for the existence of nontrivial solutions are established under certain suit
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 โ (0, 1), where n โฅ 2 and m โฅ 1 are integers, tj โ [0, 1] for j = 1, . . . , m, and f and gi , i = 0, .
In this paper, we consider the following fourth-order multi-point boundary value problem where nonlinear f is depending on all lower-order derivatives of u. By using the method of upper and lower solutions and Schauder's fixed point theorem, existence result is obtained.