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Solutions of sturm-liouville boundary value problems for higher-order differential equations

✍ 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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πŸ“œ SIMILAR VOLUMES


Multiple solutions for 2mth-order Sturm-
✍ Chuan Jen Chyan; J. Henderson πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 352 KB

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.

Positive solutions for third-order Sturm
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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