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
Nonlinear triple-point problems with change of sign
β Scribed by Ilkay Yaslan Karaca
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 234 KB
- Volume
- 55
- Category
- Article
- ISSN
- 0898-1221
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π SIMILAR VOLUMES
In this paper, by using Krasnoselskii's Fixed Point Theorem in a cone, we study the existence of positive solutions for the second-order three-point boundary value problem where 0 < Ξ±, Ξ· < 1 and f is allowed to change sign. We also give some examples to illustrate our results.
In this paper, the following nonlinear Sturm-Liouville problem is discussed by topological methods. In the case that the nonlinear term is non-singular or singular, a global structure of the positive solution set of the above problem is obtained, and the existence of positive solutions is proved un