Classical solution of the first mixed problem for a third-order hyperbolic equation with the wave operator

被引：0

作者：

V. I. Korzyuk

A. A. Mandrik

机构：

[1] Belarus State University,

来源：

Differential Equations | 2014年 / 50卷

关键词：

Cauchy Problem; Classical Solution; Matching Condition; Hyperbolic Equation; Lower Base;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the classical solution of the boundary value problem for a third-order hyperbolic equation defined on the plane in a half-strip with the Cauchy conditions on the lower base of the domain and with the Dirichlet conditions on the lateral boundary. By the method of characteristics, in the case of two independent variables, we find the solution of the problem in closed form and prove its uniqueness.

引用

页码：489 / 501

页数：12

共 50 条

[1] Classical Solution of the First Mixed Problem for a Third-Order Hyperbolic Equation with the Wave Operator
Korzyuk, V. I.
Mandrik, A. A.
[J]. DIFFERENTIAL EQUATIONS, 2014, 50 (04) : 489 - 501
[2] A boundary value problem for a hyperbolic equation with a third-order wave operator
Korzyuk, VI
[J]. DIFFERENTIAL EQUATIONS, 2004, 40 (02) : 218 - 226
[3] A Boundary Value Problem for a Hyperbolic Equation with a Third-Order Wave Operator
V. I. Korzyuk
[J]. Differential Equations, 2004, 40 : 218 - 226
[4] Solvability of a Mixed Problem with an Integral Condition for a Third-Order Hyperbolic Equation
Zikirov O.S.
Kholikov D.K.
[J]. Journal of Mathematical Sciences, 2020, 245 (3) : 323 - 331
[5] Solution of the Mixed Problem for a Third-Order Partial Differential Equation
Uskov, V., I
[J]. MATHEMATICAL NOTES, 2022, 111 (5-6) : 932 - 939
[6] Solution of the Mixed Problem for a Third-Order Partial Differential Equation
V. I. Uskov
[J]. Mathematical Notes, 2022, 111 : 932 - 939
[7] ON SOLVABILITY OF THE DIRICHLET PROBLEM FOR THE THIRD-ORDER HYPERBOLIC EQUATION
Zikirov, O. S.
[J]. LITHUANIAN MATHEMATICAL JOURNAL, 2010, 50 (02) : 239 - 247
[8] On solvability of the Dirichlet problem for the third-order hyperbolic equation
O. S. Zikirov
[J]. Lithuanian Mathematical Journal, 2010, 50 : 239 - 247
[9] On a Boundary Value Problem for a Third-Order Equation of Parabolic-Hyperbolic Type with a Fractional Order Operator
B. J. Kadirkulov
M. A. Jalilov
[J]. Lobachevskii Journal of Mathematics, 2023, 44 : 2725 - 2737
[10] On a Boundary Value Problem for a Third-Order Equation of Parabolic-Hyperbolic Type with a Fractional Order Operator
Kadirkulov, B. J.
Jalilov, M. A.
[J]. LOBACHEVSKII JOURNAL OF MATHEMATICS, 2023, 44 (07) : 2725 - 2737

← 1 2 3 4 5 →