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Nonlinear differential algebraic equations

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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.

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Authors and Affiliations

  1. Institute of System Dynamics and Control Theory, Irkutsk, Russia

    A. A. Shcheglova

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  1. A. A. Shcheglova
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__________

Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 48, No. 4, pp. 931–948, July–August, 2007.

Original Russian Text Copyright © 2007 Shcheglova A. A.

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Shcheglova, A.A. Nonlinear differential algebraic equations. Sib Math J 48, 746–761 (2007). https://doi.org/10.1007/s11202-007-0076-3

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  • DOI: https://doi.org/10.1007/s11202-007-0076-3

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