Nonlocal Problem with Integral Conditions for a High-Order Hyperbolic Equation

被引：4

作者：

Yusubov, Sh. Sh. ^{[1
]}

机构：

[1] Baku State Univ, Baku, Azerbaijan

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2017年 / 69卷 / 01期

关键词：

PSEUDOPARABOLIC EQUATIONS;

D O I：

10.1007/s11253-017-1353-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the solvability of a nonlocal problem with integral conditions for a high-order hyperbolic equation with predominant mixed derivative. The posed problem is reduced to the integral equation and the existence of its solution is proved by the help of a priori estimates.

引用

页码：148 / 160

页数：13

共 50 条

[21] Nonlocal problem with a first-kind integral condition for a multidimensional hyperbolic equation
L. S. Pul’kina
Doklady Mathematics, 2007, 76 : 741 - 743
[22] Boundary value problem for a parabolic-hyperbolic equation with a nonlocal integral condition
Sabitov, K. B.
DIFFERENTIAL EQUATIONS, 2010, 46 (10) : 1472 - 1481
[23] Boundary value problem for a parabolic-hyperbolic equation with a nonlocal integral condition
K. B. Sabitov
Differential Equations, 2010, 46 : 1472 - 1481
[24] A time-nonlocal inverse problem for a hyperbolic equation with an integral overdetermination condition
Mehraliyev, Yashar T.
Azizbayov, Elvin, I
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2021, (29)
[25] A nonlocal problem for a hyperbolic equation with integral conditions of the 1st kind with time-dependent kernels
Pul'kina L.S.
Russian Mathematics, 2012, 56 (10) : 26 - 37
[26] Nonlocal problem with a first-kind integral condition for a multidimensional hyperbolic equation
Pul'kina, L. S.
DOKLADY MATHEMATICS, 2007, 76 (02) : 741 - 743
[27] On the nonlocal problem for the degenerate hyperbolic equation
Pulkina, L.
Zeitschrift fuer Angewandte Mathematik und Mechanik, ZAMM, Applied Mathematics and Mechanics, 76 (Suppl 2):
[28] On the nonlocal problem for the degenerate hyperbolic equation
Pulkina, L
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1996, 76 : 647 - 648
[29] On a certain nonlocal problem for a hyperbolic equation
Pul'kina L.S.
Journal of Mathematical Sciences, 2007, 144 (1) : 3832 - 3840
[30] An optimal control problem with nonlocal conditions for the weakly nonlinear hyperbolic equation
Guliyev, H. F.
Tagiyev, H. T.
OPTIMAL CONTROL APPLICATIONS & METHODS, 2013, 34 (02): : 216 - 235

← 1 2 3 4 5 →