Positive solutions for the third-order boundary value problems with the second derivatives
β Scribed by Yanping Guo, Yujing Liu, Yonhchun Liang
- Book ID
- 119906849
- Publisher
- Springer International Publishing AG
- Year
- 2012
- Tongue
- English
- Weight
- 180 KB
- Volume
- 2012
- Category
- Article
- ISSN
- 1687-2762
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π 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, by using the fixed point index method, we establish the existence of at least one or at least two positive solutions for the third-order Sturm-Liouville boundary value problem with p-Laplacian where Ο p (s) = |s| p-2 s, p > 1. As an application, an example is given to demonstrate the