On solvability of essentially degenerate nonlinear algebraic differential system

zbMATH Open1270.34013MaRDI QIDQ446323

Alla Arkad'evna Shcheglova

Publication date: 5 September 2012

Published in: The Bulletin of Irkutsk State University. Series Mathematics (Search for Journal in Brave)

zbMATH Keywords

Cauchy problemnormal formdifferential-algebraic equations

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12)

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New answers to an old question in the theory of differential-algebraic equations: essential underlying ODE versus inherent ODE

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