ANZIAM J.
43 (2002), 479-491
|
The parameter dependent Sturm-Liouville eigenproblem with an interior simple or double pole
|
Thomas M. Acho
Department of Mathematics
Vista University
PO Box 380
Bloemfontein 9300
Republic of South Africa
acho-tm@blenny.vista.ac.za
|
|
and
|
Dominic P. Clemence
Department of Mathematics
North Carolina Agricultural and Technical State University
Greensboro
NC 27411
USA
clemence@ncat.edu
|
|
|
Abstract
|
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.
|
Download the article in PDF format (size 105 Kb)
|
|
|
|