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Accurate solutions of fourth order Sturm–Liouville problems

✍ Scribed by Bilal Chanane

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
316 KB
Volume
234
Category
Article
ISSN
0377-0427

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✦ Synopsis

Recently we introduced a new method which we call the Extended Sampling Method to compute the eigenvalues of second order Sturm-Liouville problems with eigenvalue dependent potential. We shall see in this paper how we use this method to compute the eigenvalues of fourth order Sturm-Liouville problems and present its practical use on a few examples.

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✍ Chen Yang; Jurang Yan 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 561 KB

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 φ p (s) = |s| p-2 s, p > 1. As an application, an example is given to demonstrate the