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Two-parameter right definite Sturm—Liouville problems with eigenparameter-dependent boundary conditions*

Published online by Cambridge University Press:  11 July 2007

T. Bhattacharyya ,
P. A. Binding  and
K. Seddighi
T. Bhattacharyya
Affiliation:
Indian Statistical Institute, R V College Post, Bangalore 560059, India.
P. A. Binding
Affiliation:
Department of Mathematics, University of Calgary, Alberta, Canada T2N 1N4.
K. Seddighi
Affiliation:
Department of Mathematics, Shiraz University, Iran
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Abstract

Linked equations are studied on [0,1] subject to boundary conditions of the form Results are given on existence, location, asymptotics and perturbation of the eigenvalues λj and oscillation of the eigenfunctions yi.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 131 , Issue 1 , February 2001 , pp. 45 - 58
Copyright
Copyright © Royal Society of Edinburgh 2001

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References

* Dedicated to the memory of Professor Karim Seddighi.