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Existence of solutions of the algebro-differential equations

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Abstract

Consideration was given to a finite-dimensional system of algebro-differential equations with discontinuities. Solution was determined in a general form, and the existence theorem was proved for the nondegenerate case.

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Authors and Affiliations

  1. Center of Stability and Nonlinear Dynamics Studies at the Blagonravov Institute of Machine Sciences, Russian Academy of Sciences, Moscow, Russia

    I. V. Matrosov

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  1. I. V. Matrosov
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Additional information

Original Russian Text © I. V. Matrosov, 2006, published in Avtomatika i Telemekhanika, 2006, No. 9, pp. 61–68.

This work was supported by Program no. 18 “Dynamics and Stability of the Multicomponent Machine Systems with Regard for Man-caused Safety” of the Department of Power Engineering, Machine Building, Mechanics, and Control Processes, Russian Academy of Sciences, project no. 18.

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Matrosov, I.V. Existence of solutions of the algebro-differential equations. Autom Remote Control 67, 1408–1415 (2006). https://doi.org/10.1134/S0005117906090050

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