Solutions of sturm-liouville boundary value problems for higher-order differential equations
β Scribed by Yuji Liu
- Publisher
- Springer-Verlag
- Year
- 2007
- Tongue
- English
- Weight
- 209 KB
- Volume
- 24
- Category
- Article
- ISSN
- 1598-5865
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π SIMILAR VOLUMES
Growth conditions are imposed on f such that the following boundary value problem: (-1)my (2m) = f(t,y), o~i+ly(2i)(0) -f~i+ly(2/+l)(0) --7i+ly(2i)(1) + 5i+1y(2i+1)(1) = O, 0 < i < m-1, has an arbitrary number of positive solutions. (~) 2000 Elsevier Science Ltd. All rights reserved.
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