A Resultant Theory for the Systems of Two Ordinary Algebraic Differential Equations

Abstract.

 A notion of resultant in determinantal form of two ordinary algebraic differential equations is introduced and some properties are shown. This notion extends the analogous one given in the linear homogeneous case by Berkovich and Tsirulik in 1986 and it can be used for the elimination of variables and their derivatives.

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1. Department of Mathematics, University of Catania, Viale Andrea Doria 6, I-95125 Catania, Italy, , , , , , IT

   Giuseppa Carra’-Ferro

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1. Giuseppa Carra’-Ferro
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Received: September 29, 1995; revised version: August 2, 1996/January 4, 1997

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Carra’-Ferro, G. A Resultant Theory for the Systems of Two Ordinary Algebraic Differential Equations. AAECC 8, 539–560 (1997). https://doi.org/10.1007/s002000050090

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• Issue Date: December 1997

• DOI: https://doi.org/10.1007/s002000050090

• Keywords: Algebraic resultant
• Differential resultant
• Differential polynomial
• Differential homogeneous polynomial.