Boundary-value Problems with Data on Characteristics for Hyperbolic Systems of Equations

被引：6

作者：

Mironova, L. B. ^{[1
]}

机构：

[1] Kazan Volga Reg Fed Univ, Yelabuga Branch, Yelabuga 423600, Russia

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2020年 / 41卷 / 03期

关键词：

hyperbolic system; Riemann method; Riemann matrix; Riemann-Hadamard method; Riemann-Hadamard matrix; Goursat problem; characteristics; DARBOUX PROBLEM;

D O I：

10.1134/S1995080220030130

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The main subjects of the present paper are the Goursat and Darboux boundary-value problems for hyperbolic systems with two independent variables. We show that obtained by T.V. Chekmarev in terms of successive approximations formulas for solution of the Goursat problem can be built also by the Riemann method, work out an analog of the Riemann-Hadamard method for the system, and introduce its Riemann-Hadamard matrix. We solve the Darboux problem in terms of the introduced matrix.

引用

页码：400 / 406

页数：7

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