On the non-local boundary value problem of a third order hyperbolic equation

被引：1

作者：

Zikirov, O. S. ^{[1
]}

机构：

[1] Natl Univ Uzbekistan, Dept Mech & Math, Tashkent 100174, Uzbekistan

来源：

INTERNATIONAL JOURNAL OF DYNAMICAL SYSTEMS AND DIFFERENTIAL EQUATIONS | 2008年 / 1卷 / 03期

关键词：

boundary value problem; Goursat problem; Riemann's function; non-local conditions; pseudo-parabolic equation; third order hyperbolic equation; Volterra integral equation;

D O I：

10.1504/IJDSDE.2008.019682

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a non-local boundary value problem for the linear third order equation with hyperbolic operator in the main part. Sufficient conditions were stated to coefficients of the equation and to given functions in order that this non-local boundary value problem has a unique solution. For the proof, we use the Riemann's ethod.

引用

页码：205 / 209

页数：5

共 50 条

[31] Non-Local Problems for the Fractional Order Diffusion Equation and the Degenerate Hyperbolic Equation
Ruziev, Menglibay
Parovik, Roman
Zunnunov, Rakhimjon
Yuldasheva, Nargiza
FRACTAL AND FRACTIONAL, 2024, 8 (09)
[32] Boundary Value Problems for a Third-Order Hyperbolic Equation on the Plane
Utkina, E. A.
DIFFERENTIAL EQUATIONS, 2017, 53 (06) : 818 - 824
[33] Boundary value problems for a third-order hyperbolic equation on the plane
E. A. Utkina
Differential Equations, 2017, 53 : 818 - 824
[34] A NON-LOCAL PROBLEM FOR A DIFFERENTIAL EQUATION OF FRACTIONAL ORDER
Misenheimer, Nick
Kosmatov, Nickolai
DYNAMIC SYSTEMS AND APPLICATIONS, 2014, 23 (2-3): : 155 - 161
[35] Polynomial approximation to a non-local boundary value problem
Karatsompanis, I.
Palamides, Panos K.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 60 (12) : 3058 - 3071
[36] A numerical method for solving one nonlocal boundary value problem for a third-order hyperbolic equation
M. Kh. Beshtokov
Computational Mathematics and Mathematical Physics, 2014, 54 : 1441 - 1458
[37] Initial-Boundary Value Problem for a Third-Order Semilinear Hyperbolic Equation with the Wave Operator
V. I. Korzyuk
J. V. Rudzko
Lobachevskii Journal of Mathematics, 2024, 45 (11) : 5569 - 5580
[38] On the formulation and investigation of a boundary value problem for a third-order equation of a parabolic-hyperbolic type
Mamajonov, M.
Rakhimov, Q.
Shermatova, Kh.
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2024, 114 (02): : 135 - 146
[39] A numerical method for solving one nonlocal boundary value problem for a third-order hyperbolic equation
Beshtokov, M. Kh
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2014, 54 (09) : 1441 - 1458
[40] RIEMANN METHOD FOR SOLVING NON-LOCAL BOUNDARY VALUE PROBLEMS FOR THE THIRD ORDER PSEUDOPARABOLIC EQUATIONS
Beshtokov, M. H.
VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2013, (04): : 15 - 24

← 1 2 3 4 5 →