This paper is about a class of singular semi-positone (k, nk) conjugate m-point boundary value problems. By using the fixed-point index theory, we get a sufficient condition for the existence of positive solution to this problem.
Structure of positive solution sets of semi-positone singular boundary value problems
✍ Scribed by Xian Xu; Donal O’Regan; Yanfang Chen
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 874 KB
- Volume
- 72
- Category
- Article
- ISSN
- 0362-546X
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📜 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
## Abstract The paper presents existence results for positive solutions of the differential equations __x__ ″ + __μh__ (__x__) = 0 and __x__ ″ + __μf__ (__t, x__) = 0 satisfying the Dirichlet boundary conditions. Here __μ__ is a positive parameter and __h__ and __f__ are singular functions of non‐p