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This article is cited in 1 scientific paper (total in 1 paper)
On a quasi-linear partial differential algebraic system of equations
S. V. Svinina Matrosov Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, 664033 Russia
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.
Key words:
quasi-linear partial differential algebraic system of equations, index, method of characteristics.
Received: 08.07.2019 Revised: 08.07.2019 Accepted: 08.07.2019
Citation:
S. V. Svinina, “On a quasi-linear partial differential algebraic system of equations”, Zh. Vychisl. Mat. Mat. Fiz., 59:11 (2019), 1856–1871; Comput. Math. Math. Phys., 59:11 (2019), 1791–1805
Linking options:
https://www.mathnet.ru/eng/zvmmf10979 https://www.mathnet.ru/eng/zvmmf/v59/i11/p1856
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