Positive solution of second-order multi-point boundary value problems for finite difference equation with
โ Scribed by Huihui Pang; Weigao Ge
- Book ID
- 107619657
- Publisher
- Springer-Verlag
- Year
- 2008
- Tongue
- English
- Weight
- 345 KB
- Volume
- 26
- Category
- Article
- ISSN
- 1598-5865
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๐ SIMILAR VOLUMES
This paper is devoted to study the existence of multiple positive solutions for the second-order multi-point boundary value problem with impulse effects. The arguments are based upon fixed-point theorems in a cone. An example is worked out to demonstrate the main results.
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