Multiplicity of the solutions of a differential polynomial

DOI10.1016/0022-4049(95)00045-3zbMath0860.12005OpenAlexW1973526104MaRDI QIDQ1917388

José-Miguel Farto

Publication date: 24 April 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00045-3

zbMATH Keywords

Puiseux seriesmultiplicity for solutions of differential polynomialsNewton-Puiseux-Fine polygonreduction of multiplicity

Mathematics Subject Classification ID

Commutative rings of differential operators and their modules (13N10) Differential algebra (12H05) Abstract differential equations (12H20)

Related Items (3)

A symbolic-numerical method to integrate ODEs at a singular point ⋮ An algorithm for the systematic construction of solutions to perturbed problems ⋮ An algorithm for an eigenvalues problem in the Earth rotation theory

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An extension of the Newton-Puiseux polygon construction to give solutions of Pfaffian forms
• On the singular solutions of algebraic differential equations
• Associative differential operations
• Solving Ordinary Differential Equations in Terms of Series with Real Exponents
• ON THE SERIES DEFINED BY DIFFERENTIAL EQUATIONS, WITH AN EXTENSION OF THE PUISEUX POLYGON CONSTRUCTION TO THESE EQUATIONS

This page was built for publication: Multiplicity of the solutions of a differential polynomial