Characteristic sets for ordinary differential equations

DOI10.1007/s11086-005-0019-3zbMath1162.68826OpenAlexW2033493790MaRDI QIDQ2508525

Alexey Ovchinnikov, Marina Kondratieva

Publication date: 13 October 2006

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11086-005-0019-3

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Commutative rings of differential operators and their modules (13N10) Abstract differential equations (12H20)

Cites Work

• Characterizable radical differential ideals and some properties of characteristic sets
• Computing representations for radicals of finitely generated differential ideals
• Factorization-free decomposition algorithms in differential algebra
• A bound for the order of characteristic set elements of an ordinary prime differential ideal and some applications
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