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
β¦ LIBER β¦
On sign-changing solution for some three-point boundary value problems
β Scribed by Xu Xian; Jingxian Sun
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 202 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0362-546X
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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.