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The parameter dependent Sturm-Liouville eigenproblem with an interior simple or double pole

Published online by Cambridge University Press:  17 February 2009

Thomas M. Acho  and
Dominic P. Clemence
Thomas M. Acho
Affiliation:
Department of Mathematics, Vista University, PO Box 380, Bloemfontein 9300, Republic of South Africa; e-mail: acho-tm@blenny.vista.ac.za.
Dominic P. Clemence
Affiliation:
Department of Mathematics, North Carolina Agricultural and Technical State University, Greensboro, NC 27411, USA; e-mail: clemence@ncat.edu.
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Abstract

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Boundary value problems where resonance phenomena are studied are most often transformable to parameter dependent Sturm-Liouville (SL) eigenproblems with interior singularities. The parameter dependent Sturm-Liouville eigenproblem with interior poles is examined. Asymptotic approximations to the solutions are obtained using an extended Langer's method to take care of the resulting complex eigenvalues and eigenfunctions.

Type
Research Article
Information
The ANZIAM Journal , Volume 43 , Issue 4 , April 2002 , pp. 479 - 491
Copyright
Copyright © Australian Mathematical Society 2002

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