Nonlocal theorems on existence of solutions of differential-algebraic equations of index 1

DOI10.3103/S1066369X07010094zbMath1148.34301MaRDI QIDQ2479647

Viktor Filimonovich Chistyakov, Elena Victorovna Chistyakova

Publication date: 1 April 2008

Published in: Russian Mathematics (Search for Journal in Brave)

zbMATH Keywords

existence of solutionsinitial value problemsdifferential-algebraic equationslinear systems and equations

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Linear ordinary differential equations and systems (34A30)

Related Items (1)

On the practical stability of control processes governed by implicit differential equations: the invariant ellipsoid based approach

Cites Work

• Numerical solution of the Cauchy problem for a system of differential-algebraic equations with the use of implicit Runge-Kutta methods with a nontrivial predictor
• Transformations of differential-algebraic systems of equations
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