Darboux Problem for the Fourth-Order Bianchi Equation

被引：3

作者：

Mironov, A. N. ^{[1
]}

机构：

[1] Kazan Fed Univ, Elabuga Inst, Yelabuga 423600, Tatarstan, Russia

来源：

DIFFERENTIAL EQUATIONS | 2021年 / 57卷 / 03期

关键词：

RIEMANN FUNCTION; CONSTRUCTION;

D O I：

10.1134/S001226612103006X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence and uniqueness of a solution of the Darboux problem for the fourth-order Bianchi equation. The Riemann-Hadamard function is determined for the Darboux problem. The solution of the problem is constructed in terms of this function.

引用

页码：328 / 341

页数：14

共 50 条

[21] On a nonclassical interpretation of the dirichlet problem for a fourth-order pseudoparabolic equation
Mamedov, I. G.
DIFFERENTIAL EQUATIONS, 2014, 50 (03) : 415 - 418
[22] On the solvability of a boundary value problem for a fourth-order equation on a graph
R. Ch. Kulaev
Differential Equations, 2014, 50 : 25 - 32
[23] Fourth-order modified method for the Cauchy problem for the Laplace equation
Qian, Zhi
Fu, Chu-Li
Xiong, Xiang-Tuan
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2006, 192 (02) : 205 - 218
[24] On the asymptotics of the solution of the Dirichlet problem for a fourth-order equation in a layer
V. A. Nikishkin
Computational Mathematics and Mathematical Physics, 2014, 54 : 1214 - 1220
[25] On the spectrum of a multipoint boundary value problem for a fourth-order equation
R. Ch. Kulaev
Differential Equations, 2016, 52 : 316 - 326
[26] A fundamental solution to the Cauchy problem for a fourth-order pseudoparabolic equation
Mamedov, I. G.
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2009, 49 (01) : 93 - 104
[27] On a Fourth-order Eigenvalue Problem
鲁梦僧
数学进展, 2000, (01) : 91 - 93
[28] Solutions to a boundary value problem of a fourth-order impulsive differential equation
Jingli Xie
Zhiguo Luo
Boundary Value Problems, 2013
[29] Goursat-type nonlocal problem for a fourth-order loaded equation
L. S. Pulkina
Elena Klimova
Boletín de la Sociedad Matemática Mexicana, 2023, 29
[30] Periodic Boundary-Value Problem for a Fourth-Order Differential Equation
Abdullaev, A. R.
Skachkova, E. A.
RUSSIAN MATHEMATICS, 2013, 57 (12) : 1 - 7

← 1 2 3 4 5 →