Positive solutions for three-point semipositone boundary value problems with convex nonlinearity
โ Scribed by Xinguang Zhang
- Book ID
- 107619822
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- English
- Weight
- 353 KB
- Volume
- 30
- Category
- Article
- ISSN
- 1598-5865
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๐ SIMILAR VOLUMES
By constructing available operators, some new existence theorems of positive solutions are obtained for a class of three-point boundary value problems u"+Ah(t)f(t,u)=O, 0<t<l, ~(0) -Z~'(0) = 0, u(1) = ~(~), where f is allowed to change sign, ~ C (0,1). The associated Green's function for the above p
In this paper, by using the fixed-point index theorems, we study the existence of at least one or two positive solutions to the three-point bounda~'y value problem = ~(~), where 0 < ~? < 1, 0 < fl < 1/7. As an application, we also give some examples to demonstrate our results. (~) 2002 Elsevier Sci