This article is cited in 5 papers

Nonlinear differential algebraic equations

A. A. Shcheglova

Institute of System Dynamics and Control Theory, Siberian Branch of the Russian Academy of Sciences

Abstract: We consider a system of nonlinear ordinary differential equations that are not solved with respect to the derivative of the unknown vector function and degenerate identically in the domain of definition. We obtain conditions for the existence of an operator transforming the original system to the normal form and prove a general theorem on the solvability of the Cauchy problem.

Keywords: differential algebraic equation, reduction to normal form, existence of a solution, Cauchy problem.

Received: 27.10.2005

 English version: Siberian Mathematical Journal, 2007, 48:4, 746–761

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