Nonclassical analog of the Goursat problem for a three-dimensional equation with highest derivative

被引：2

作者：

Mamedov, I. G. ^{[1
]}

机构：

[1] Natl Acad Sci Azerbaijan, Guseinov Inst Cybernet, Baku, Azerbaijan

来源：

MATHEMATICAL NOTES | 2014年 / 96卷 / 1-2期

关键词：

three-dimensional equation with highest derivative of fifth order; Goursat problem; Volterra integral equation; Sobolev space; RIEMANN FUNCTION; CONSTRUCTION;

D O I：

10.1134/S0001434614070256

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we study the Goursat problem for a three-dimensional equation with highest derivative of fifth order with L (p) -coefficients and establish a homeomorphism between certain pairs of Banach spaces by reducing this problem to the equivalent Volterra integral equation.

引用

页码：239 / 247

页数：9

共 50 条

[31] The mixed problem for the Laplace equation in a three-dimensional multiply connected domain
Krutitskii, PA
[J]. DIFFERENTIAL EQUATIONS, 1999, 35 (09) : 1193 - 1200
[32] A symbolic computation approach to a three-dimensional inverse problem for the transport equation
Güyer, T
Mirasyedioglu, S
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 150 (01) : 181 - 193
[33] Electric polarizability in the three-dimensional problem and the solution of an inhomogeneous differential equation
Maize, M. A.
Smetanka, J. J.
[J]. EUROPEAN JOURNAL OF PHYSICS, 2017, 38 (04)
[34] The three-dimensional Neumann problem with generalized boundary conditions and the Prandtl equation
Setukha, AV
[J]. DIFFERENTIAL EQUATIONS, 2003, 39 (09) : 1249 - 1262
[35] Simulation of the three-dimensional Laplace equation on an interactive three-dimensional spreadsheet
Lam, CY
[J]. INTERNATIONAL JOURNAL OF COMPUTER APPLICATIONS IN TECHNOLOGY, 1996, 9 (5-6) : 259 - 271
[36] Three-dimensional magnetostatic problem
Bandelier, B
Daveau, C
Laminie, J
Mefire, SM
Rioux-Damidau, F
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1999, 46 (01) : 117 - 130
[37] Three-dimensional mineral dendrites reveal a nonclassical crystallization pathway
Hou, Zhaoliang
Wos, Dawid
Tschegg, Cornelius
Rogowitz, Anna
Rice, A. Hugh N.
Nasdala, Lutz
Fusseis, Florian
Szymczak, Piotr
Grasemann, Bernhard
[J]. GEOLOGY, 2023, 51 (07) : 626 - 630
[38] Numerical solution of three-dimensional crack problem by using hypersingular integral equation
Chen, YZ
Lee, KY
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2001, 190 (31) : 4019 - 4026
[39] Nonlocal Problem for a Three-dimensional Elliptic Equation with Singular Coefficients in a Rectangular Parallelepiped
Karimov, Kamoliddin T.
[J]. JOURNAL OF SIBERIAN FEDERAL UNIVERSITY-MATHEMATICS & PHYSICS, 2020, 13 (05): : 533 - 546
[40] An inverse problem of the three-dimensional wave equation for a general annular vibrating membrane
Zayed, EME
[J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2003, 34 (10): : 1407 - 1418

← 1 2 3 4 5 →