Existence of triple positive solutions for a third-order three-point boundary value problem
โ Scribed by Yongping Sun
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 229 KB
- Volume
- 221
- Category
- Article
- ISSN
- 0377-0427
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๐ SIMILAR VOLUMES
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
The existence, nonexistence, and multiplicity of nonnegative solutions are established for the three-point boundary value problem where ฮฒ โ (0, 1), ฮฑ โ (0, 1/ฮฒ), and ฮป is a nonnegative parameter, under appropriate hypotheses. The key idea is that the problem of finding a nonnegative solution is tra