Email this article Some Cases of the Cauchy Problem for First-Order Differential Equations with Discontinuous Coefficients
- Authors: Anikonov D.S.1, Konovalova D.S.2
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Affiliations:
- Novosibirsk State University
- Sobolev Institute of Mathematics
- Issue: Vol 55, No 1 (2019)
- Pages: 138-141
- Section: Short Communications
- URL: https://journals.rcsi.science/0012-2661/article/view/154932
- DOI: https://doi.org/10.1134/S0012266119010142
- ID: 154932
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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.
About the authors
D. S. Anikonov
Novosibirsk State University
Author for correspondence.
Email: anik@math.nsc.ru
Russian Federation, Novosibirsk, 630090
D. S. Konovalova
Sobolev Institute of Mathematics
Email: anik@math.nsc.ru
Russian Federation, Novosibirsk, 630090
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