Families of regular solutions of singular systems |
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| Authors: | L.J. Grimm B.D. Haile L.M. HALL |
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| Affiliation: | 1. Department of Mathematics and Statistics , University of Missouri-Rolla , Rolla, MO, 65409-0020, USA;2. Department of Mathematics and Statistics , Northwest Missouri State University , Maryville, MO, 64468-6001, USA |
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| 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 |
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| Keywords: | Linear differential equation Regular singular point Holomorphic solution Linear difference equation |
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