Existence of Three Positive Solutions of Three-Order withm-Point Impulsive Boundary Value Problems
โ Scribed by Sihua Liang; Jihui Zhang
- Publisher
- Springer Netherlands
- Year
- 2008
- Tongue
- English
- Weight
- 349 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0167-8019
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๐ SIMILAR VOLUMES
We establish the existence of positive solutions for the three-point boundary value problem u" + a(t)f(u) = o, u(0) = 0, u(1) -au(~) = b, where b, c~ > 0, r/ E (0, 1), a~? < 1, are given. Under suitable conditions, we show that there exists a positive number b\* such that the problem has at least on
In this paper, a new fixed-point theorem of functional type in a cone is established. With using the new fixed-point theorem and imposing growth conditions on the nonlinearity, the existence of three positive solutions for the boundary value problem x"(O+f(t,x(t),x'(t))=O , 0<t<l, x(0) = x(1) = 0,