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Some Cases of the Cauchy Problem for First-Order Differential Equations with Discontinuous Coefficients

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Abstract

We consider the Cauchy problem in three-dimensional space for a first-order almost linear differential equation with discontinuous coefficients of the derivatives. Two special cases related to the behavior of characteristics are singled out and studied.

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Authors and Affiliations

  1. Novosibirsk State University, Novosibirsk, 630090, Russia

    D. S. Anikonov

  2. Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk, 630090, Russia

    D. S. Konovalova

Authors
  1. D. S. Anikonov
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  2. D. S. Konovalova
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Correspondence to D. S. Anikonov.

Additional information

Russian Text © D.S. Anikonov, D.S. Konovalova, 2019, published in Differentsial’nye Uravneniya, 2019, Vol. 55, No. 1, pp. 134–137.

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Anikonov, D.S., Konovalova, D.S. Some Cases of the Cauchy Problem for First-Order Differential Equations with Discontinuous Coefficients. Diff Equat 55, 138–141 (2019). https://doi.org/10.1134/S0012266119010142

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  • DOI: https://doi.org/10.1134/S0012266119010142

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