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Generalized Solutions of Autonomous Algebraic Differential Equations

Published online by Cambridge University Press:  20 November 2018

Lee A. Rubel
Lee A. Rubel*
Affiliation:
Department of Mathematics, University of Illinois1409 West Green Street, UrbanaIL 61801
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Abstract

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In an earlier paper, the author introduced the notions of N-solutions and IN-solutions of algebraic differential equations (ADE's). Here it is shown, in contradistinction to the situation for Cn solutions, that every N-solution of an ADE is an N-solution of an autonomous ADE. The corresponding result also holds for IN-solutions.

Keywords

34A34
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 3 , 01 September 1986 , pp. 372 - 374
Copyright
Copyright © Canadian Mathematical Society 1986

References

1. Kaplansky, Irving, An Introduction to Differential Algebra, Paris 1957 (2nd ed. 1976).Google Scholar
2. Rubel, Lee A., Solutions of algebraic differential equations, J. Diff. Eq. 49 (1983), pp. 441–452.Google Scholar
3. Rubel, Lee A., Generalized solutions of algebraic differential equations, J. Diff. Eq., to appear.Google Scholar
4. van der Waerden, B. L., Moderne Algebra, Berlin 1931.Google Scholar