Families of Regular Solutions of Singular Systems

Author

Leon M. Hall, Missouri University of Science and Technology
L. J. Grimm, Missouri University of Science and TechnologyFollow
Brian Haile

Editor(s)

Elaydi, Saber

Abstract

The seminal 1969 paper of W.A. Harris Jr., Y. Sibuya, and L. Weinberg provided new proofs for the Perron-Lettenmeyer theorem, as well as several other classical results, and has stimulated renewed consideration of families of regular solutions of certain singular problems. In this paper we give some further applications of the method developed there and, in addition, examine some connections between the Lettenmeyer theorem and an alternative theorem which addresses a problem posed by H.L. Turrittin that dates back to an 1845 example of Briot and Bouquet

Recommended Citation

L. M. Hall et al., "Families of Regular Solutions of Singular Systems," Journal of Difference Equations and Applications, Taylor & Francis, Jan 2001.

The definitive version is available at https://doi.org/10.1080/10236190108808262

Department(s)

Mathematics and Statistics

Keywords and Phrases

linear difference equation; regular singular point; holomorphic solution; linear difference equation

International Standard Serial Number (ISSN)

1023-6198

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2001 Taylor & Francis, All rights reserved.

Publication Date

01 Jan 2001