For 1 < k < n-1, we study the existence of multiple positive solutions to the singular (k, n -k) conjugate boundary value problem We show that there are at least two positive solutions if f(t, y) is superlinear at c~ and singular at u = 0, t = 0, and t = 1. The arguments involve only positivity pro
Positive solutions of even higher-order singular superlinear boundary value problems
โ Scribed by Guoliang Shi; Shaozhu Chen
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 626 KB
- Volume
- 45
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
This paper investigates 2mth-order (m > 1) superlinear singular two-point boundary value problems and obtains some necessary and sufficient conditions for existence of C2(m-') or C2m-1 positive solutions on the closed interval.
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