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STURM–LIOUVILLE PROBLEMS WITH DISCONTINUOUS POTENTIAL

Part of: Ordinary differential operators

Published online by Cambridge University Press:  01 June 2008

Z. AKDOĞAN  and
Z. ŞAŞMAZ
Z. AKDOĞAN*
Affiliation:
Gaziosmanpasa University, Faculty of Science-Art, Department of Mathematics, 60240 Tokat, Turkey (email: zakdogan@gop.edu.tr)
Z. ŞAŞMAZ
Affiliation:
Şehit Vural Arıcı Anadolu Lisesi, 06920 Nallıhan/Ankara, Turkey (email: zekimat@hotmail.com)
*
✉For correspondence; e-mail: zakdogan@gop.edu.tr
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Abstract

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We consider a discontinuous Sturm–Liouville equation together with two supplementary transmission conditions at the point of discontinuity. We suggest our own approach for finding asymptotic approximation formulas for the eigenvalues of such discontinuous problems.

Keywords

Sturm–Liouville problemstransmission conditionsasymptotic of eigenvalues and eigenfunctionsdiscontinuous boundary-value problems

MSC classification

Secondary: 34L20: Asymptotic distribution of eigenvalues, asymptotic theory of eigenfunctions
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 77 , Issue 3 , June 2008 , pp. 485 - 494
Copyright
Copyright © 2008 Australian Mathematical Society

References

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