Solution of the cauchy problem for a hyperbolic equation with constant coefficients in the case of two independent variables

被引：0

作者：

V. I. Korzyuk

I. S. Kozlovskaya

机构：

[1] National Academy of Sciences,Institute of Mathematics

来源：

Differential Equations | 2012年 / 48卷

关键词：

General Solution; Cauchy Problem; Hyperbolic Equation; Computer Algebra System; Volterra Operator;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

On the plane, we consider a linear partial differential equation of arbitrary order of hyperbolic type. The operator in the equation is a composition of first-order differential operators. The equation is accompanied with Cauchy conditions. For the equation, we obtain an analytic form of the general solution, from which we single out the unique classical solution of the Cauchy problem.

引用

页码：707 / 716

页数：9

共 50 条

[1] Solution of the cauchy problem for a hyperbolic equation with constant coefficients in the case of two independent variables
Korzyuk, V. I.
Kozlovskaya, I. S.
DIFFERENTIAL EQUATIONS, 2012, 48 (05) : 707 - 716
[2] Classical Solution to the Cauchy Problem for a Semilinear Hyperbolic Equation in the Case of Two Independent Variables
Korzyuk, V. I.
Rudzko, J. V.
RUSSIAN MATHEMATICS, 2024, 68 (03) : 41 - 52
[3] REMARKS ON CAUCHY PROBLEM FOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS IN SEVERAL INDEPENDENT VARIABLES
COURANT, R
LAX, A
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1955, 8 (04) : 497 - 502
[4] Behavior of the solution of the Cauchy problem for a hyperbolic equation with periodic coefficients
A. V. Vestyak
O. A. Matevosyan
Mathematical Notes, 2016, 100 : 751 - 754
[5] Behavior of the solution of the Cauchy problem for a hyperbolic equation with periodic coefficients
Vestyak, A. V.
Matevosyan, O. A.
MATHEMATICAL NOTES, 2016, 100 (5-6) : 751 - 754
[6] On the behavior of the solution of the Cauchy problem for an inhomogeneous hyperbolic equation with periodic coefficients
A. V. Vestyak
O. A. Matevosyan
Mathematical Notes, 2017, 102 : 424 - 428
[7] Behavior of the solution of the Cauchy problem for an inhomogeneous hyperbolic equation with periodic coefficients
Matevossian, Hovik A.
Vestyak, Anatoly V.
6TH INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELLING IN PHYSICAL SCIENCES (IC-MSQUARE 2017), 2017, 936
[8] On the behavior of the solution of the Cauchy problem for an inhomogeneous hyperbolic equation with periodic coefficients
Vestyak, A. V.
Matevosyan, O. A.
MATHEMATICAL NOTES, 2017, 102 (3-4) : 424 - 428
[9] Cauchy problem for a nonstrictly hyperbolic equation on a half-plane with constant coefficients
V. I. Korzyuk
I. S. Kozlovskaya
A. I. Kozlov
Differential Equations, 2015, 51 : 726 - 737
[10] Cauchy problem for a nonstrictly hyperbolic equation on a half-plane with constant coefficients
Korzyuk, V. I.
Kozlovskaya, I. S.
Kozlov, A. I.
DIFFERENTIAL EQUATIONS, 2015, 51 (06) : 726 - 737

← 1 2 3 4 5 →