On a Quasi-Linear Partial Differential Algebraic System of Equations

S. V. Svinina

doi:10.1134/S0965542519110125

On a Quasi-Linear Partial Differential Algebraic System of Equations

Authors: Svinina S.V.¹
Affiliations:
1. Matrosov Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences
Issue: Vol 59, No 11 (2019)
Pages: 1791-1805
Section: Article
URL: https://journal-vniispk.ru/0965-5425/article/view/180877
DOI: https://doi.org/10.1134/S0965542519110125
ID: 180877

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Abstract
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Abstract

A mixed problem for a quasi-linear first-order partial differential algebraic system of equations of index \((1,0)\) with two independent variables is considered. An existence theorem for this problem is proved using the method of characteristics and an iterative method.

Keywords

quasi-linear partial differential algebraic system of equations, index, method of characteristics

About the authors

S. V. Svinina

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

Author for correspondence.
Email: svinina@icc.ru
Russian Federation, Irkutsk, 664033

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