Families of regular solutions of singular systems

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...

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Bibliographic Details
Published in:Journal of difference equations and applications 2001-01, Vol.7 (1), p.51-62
Main Authors: Grimm, L.J., Haile, B.D., HALL, L.M.
Format: Article
Language:English
Subjects:
Holomorphic solution
Linear difference equation
Linear differential equation
Regular singular point
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Summary: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
ISSN:1023-6198
1563-5120
DOI:10.1080/10236190108808262