Let a e C[0,1], b E C([0, 1], (-ec,0]). Let d e R and d > 0. Let ยข1(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
Positive solutions for an n-point nonhomogeneous boundary value problem
โ Scribed by Shihua Chen; Qunjiao Zhang; Li Chen
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 398 KB
- Volume
- 40
- Category
- Article
- ISSN
- 0895-7177
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This paper is concerned with the existence of positive solutions to the nonhomogeneous three-point boundary value problem of the second-order ordinary differential equation satisfying that there exists x 0 โ [0, 1] such that h(x 0 ) > 0, and f โ C([0, โ), [0, โ)). By applying Krasnosel'skii's fixed
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
In this paper, by using the fixed-point index theorems, we study the existence of at least one or two positive solutions to the three-point bounda~'y value problem = ~(~), where 0 < ~? < 1, 0 < fl < 1/7. As an application, we also give some examples to demonstrate our results. (~) 2002 Elsevier Sci