A qualitative and quantitative analysis of second order linear difference equations

Smith, Maureen Sue.

A qualitative and quantitative analysis of second order linear difference equations

Date Issued

December 1, 1979

Author(s)

Smith, Maureen Sue.

Advisor(s)

Don B. Hinton

Additional Advisor(s)

Steven M. Serbin

Philip W. Schafer

Permanent URI

https://trace.tennessee.edu/handle/20.500.14382/53945

Abstract

Using the algorithm of F. W. J. Olver and 0. J. Sookne for difference computing the eigenvectors of any second order linear equation in which recurrence procedures fail because of instability, a method is developed to approximate eigenvalues of an infinite system of difference equations. The method is illustrated by numerical computations. In addition, some qualitative properties of difference equations, which are reflected in the eigenvectors of the infinite matrix, are discussed.

Degree

Master of Science

Major

Mathematics

File(s)

Name

Thesis79S674.pdf

Size

2.52 MB

Format

Adobe PDF

Checksum (MD5)

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