Existence results for the second-order three-point boundary value problem ลฝ . ลฝ . ลฝ . ลฝ . ลฝ . xะ s f t, x, xะ , x 0 s A, x y x 1 s y 1 B, 0 --1, are presented. Our analysis is based on a Nonlinear Alternative of Leray-Schauder.
Existence of Three Solutions for a Nonautonomous Two Point Boundary Value Problem
โ Scribed by Pasquale Candito
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 64 KB
- Volume
- 252
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
We study the existence of positive solutions to the boundary-value problem u + a t f u = 0 tโ 0 1 i=1 a i < 1, and m-2 i=1 b i < 1. We show the existence of at least one positive solution if f is either superlinear or sublinear by applying the fixed point theorem in cones.
We establish the existence of at least three positive solutions to the second-order three-point boundary value problem, u + f t u = 0 u 0 = 0 ฮฑu ฮท = u 1 , where ฮท 0 < ฮท < 1 0 < ฮฑ < 1/ฮท, and f 0 1 ร 0 โ โ 0 โ is continuous. We accomplish this by making growth assumptions on f which can apply to many