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Existence and structure of complete formal solutions of non-linear meromorphic systems of ordinary differential equations

Article type: Research Article

Authors: Balser, Werner

Affiliations: University of Ulm, Abt. Mathematik V, 89069 Ulm, Germany, E-mail: balser@mathematik.uni-ulm.de

Abstract: For general non-linear n-dimensional homogeneous systems of meromorphic ODE, we show existence of a complete formal solution, formally depending upon n free parameters. We investigate the structure of such formal solutions and, in particular, obtain a factorization, analogous to results of J.-P. Ramis and (independently) the author for linear systems.

DOI: 10.3233/ASY-1997-153-403

Journal: Asymptotic Analysis, vol. 15, no. 3-4, pp. 261-282, 1997

Published: 1997
Price: EUR 27.50
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