Positive solutions for higher order multi-point boundary value problems with nonhomogeneous boundary conditions
β Scribed by Lingju Kong; James S.W. Wong
- Book ID
- 108178651
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 307 KB
- Volume
- 367
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π 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
Let a e C[0,1], b E C([0, 1], (-ec,0]). Let d e R and d > 0. Let Β’1(t) be the unique solution of the linear boundary value problem u We study the existence of positive solutions for the m-point boundary value problem where ~i E (0, 1) and ai E (0, c~) (for i E {1 ..... m -2}) are given constants s
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 β (0, 1), where n β₯ 2 and m β₯ 1 are integers, tj β [0, 1] for j = 1, . . . , m, and f and gi , i = 0, .
## Abstract We study the nonlinear boundary value problem with nonhomogeneous multiβpoint boundary condition Sufficient conditions are found for the existence of solutions of the problem based on the existence of lower and upper solutions with certain relation. Using this existence result, under s