Publication Date

1992

Document Type

Dissertation/Thesis

Degree Name

M.S. (Master of Science)

Legacy Department

Department of Mathematical Sciences

LCSH

Eigenvalues; Strum-Liouville equation; Asymptotic expansions

Abstract

In this thesis, we obtain asymptotic formulas for eigenvalues associated with the Liouville Normal Form of the general Sturm-Liouville equation (pu')' + (λk — Q)u=0 on the interval [a, b]. The method used is based on an iterative procedure for solving the associated Riccati equation and then developing an asymptotic ex- 1 pansion of the solution in decending powers of λ^(1/2) as A —» ∞. The eigenvalue asymptotic formulas are then found using series reversion. Examples of this process are carried out by the symbolic manipulator package, MAPLE.

Comments

Includes bibliographical references (leaf [53]).

Extent

63 pages

Language

eng

Publisher

Northern Illinois University

Rights Statement

In Copyright

Rights Statement 2

NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.

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