Algebraic differential equations of the first order free from parametric singularities from the differential-algebraic standpoint

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概要

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• A differential-algebraic definition for an algebraic differential equation of the first order to be free from parametric singularities will be given. From this standpoint we shall prove three theorems which are essentially due to Briot and Bouquet, Fuchs, and Poincaré respectively.

• 社団法人 日本数学会の論文

著者

• MATSUDA Michihiko

  Department of Mathematics Osaka University

関連論文

• Algebraic differential equations of the first order free from parametric singularities from the differential-algebraic standpoint
• Reduction of Monge-Ampère's equations by Imschenetsky transformations

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