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An application of Ritt’s low power theorem

Published online by Cambridge University Press:  22 January 2016

Michihiko Matsuda
Michihiko Matsuda*
Affiliation:
Department of Mathematics Osaka University
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Abstract

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Consider an algebraic differential equation F = 0 of the first order. A rigorous definition will be given to the classical concept of “particular solutions” of F = 0. By Ritt’s low power theorem we shall prove that a singular solution of F = 0 belongs to the general solution of F if and only if it is a particular solution of F = 0.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 68 , November 1977 , pp. 17 - 19
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1977

References

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