Generalized solutions of algebraic differential equations

DOI10.1016/0022-0396(86)90100-2zbMath0578.12017OpenAlexW2027928494WikidataQ56812657 ScholiaQ56812657MaRDI QIDQ1066193

Lee A. Rubel

Publication date: 1986

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(86)90100-2

zbMATH Keywords

generalized solutionsalgebraic differential equationsSchwartz distributionADEN-solutionnon-linear equationIN-solutionRitt's differential Nullstellensatz

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Nonlinear differential equations in abstract spaces (34G20) Abstract differential equations (12H20)

Related Items (3)

Homogeneous, isobaric, and autonomous algebraic differential equations ⋮ Multiplication of distributions ⋮ The differential equation \(y=0\) revisited

Cites Work

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• A multiplication of distributions
• The Darboux property and solutions of algebraic differential equations
• Solutions of algebraic differential equations
• On the singular solutions of algebraic differential equations
• Associative differential operations
• Corrigendum to "A Differentially Algebraic Replacement Theorem, and Analog Computability"

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