Estimates on the Lower Bound of the Eigenvalue of the Smallest Modulus Associated with a General Weighted Sturm-Liouville Problem-Reference-Cited by-同舟云学术

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Estimates on the Lower Bound of the Eigenvalue of the Smallest Modulus Associated with a General Weighted Sturm-Liouville Problem

Published:2016 Issue: Volume:2016 Page:1-5
ISSN:1687-9643
Container-title:International Journal of Differential Equations
language:en
Short-container-title:International Journal of Differential Equations

Author:

Kikonko Mervis¹²^ORCID,Mingarelli Angelo Bernado³^ORCID

Affiliation:

1. Department of Engineering Sciences and Mathematics, Luleå University of Technology, 971 87 Luleå, Sweden

2. Department of Mathematics and Statistics, University of Zambia, P.O. Box 32379, Lusaka, Zambia

3. School of Mathematics and Statistics, Carleton University, Ottawa, ON, Canada K1S 5B6

Abstract

We obtain a lower bound on the eigenvalue of smallest modulus associated with a Dirichlet problem in the general case of a regular Sturm-Liouville problem. The main motivation for this study is the result obtained by Mingarelli (1988).

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/ijde/2016/7396951.pdf

Reference12 articles.

1. Oscillation of Eigenfunctions of Weighted Regular Sturm-Liouville Problems

2. Contributions to the Study of Oscillation Properties of the Solutions of Linear Differential Equations of the Second Order

3. Left-Definite Sturm–Liouville Problems

4. Indefinite Sturm–Liouville problems

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