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Article type: Research Article
Authors: Jurkat, W.B. | Zwiesler, H.J.
Affiliations: Abteilung Mathematik V, Universitaet Ulm, Oberer Eselsberg, D-7900 Ulm/Donau, Fed. Rep. Germany
Abstract: In this paper we address the problem of determining all the meromorphic differential equations that are meromorphically equivalent to a given equation; and we also discuss how one can effectively check whether two given equations are equivalent. In the case of equations of block size 1, which is a generalization of the case of distinct eigenvalues, we provide solutions to these problems which involve only algebraic processes. This allows a detailed description of the structure of the involved transformations. Our discussion is based on the concept of direct transformations which we define and study thoroughly.
DOI: 10.3233/ASY-1988-1403
Journal: Asymptotic Analysis, vol. 1, no. 4, pp. 303-316, 1988
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