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
Three solutions for three-point boundary value problems
โ Scribed by Xu Xian
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 214 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0362-546X
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๐ SIMILAR VOLUMES
theorem of generalized cone expansion and compression a b s t r a c t Using a fixed point theorem of generalized cone expansion and compression we present in this paper criteria which guarantee the existence of at least two positive solutions for semi-positone three-point boundary value problems wit
This paper investigates the following singular systems of nonlinear second-order three-point boundary value problems where ฮท โ (0, 1), 0 < ฮฑฮท < 1, f and g may be singular at t = 0 and/or t = 1. Under some weaker conditions the existence of positive solutions is obtained by applying the fixed point