Solvability of a Boundary Value Problem for a Differential Equation of the Boussinesq Type

被引：0

作者：

T. K. Yuldashev

机构：

[1] Reshetnev Siberian State Aerospace University,

来源：

Differential Equations | 2018年 / 54卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the solvability and the construction of the solution of a boundary value problem with a nonlocal integral boundary condition for a three-dimensional analog of the fourth-order homogeneous Boussinesq type differential equation. Separation of variables is used to derive a criterion for the unique solvability of this nonlocal problem. The problem is also considered in the case of violation of the unique solvability criterion.

引用

页码：1384 / 1393

页数：9

共 50 条

[31] SOLVABILITY OF A 2-POINT BOUNDARY-VALUE PROBLEM FOR AN ORDINARY DIFFERENTIAL EQUATION
GORBUNOV, AD
KUCHERENKO, EI
DOKLADY AKADEMII NAUK SSSR, 1975, 220 (03): : 516 - 519
[32] On solvability conditions of a boundary value problem for a nonlinear abstract functional-differential equation
Zhukovskii, E. S.
Zhukovskaya, T. V.
IZVESTIYA INSTITUTA MATEMATIKI I INFORMATIKI-UDMURTSKOGO GOSUDARSTVENNOGO UNIVERSITETA, 2012, (01): : 50 - 51
[33] Solvability of a boundary value problem for operator-differential equations of mixed type
V. I. Antipin
Siberian Mathematical Journal, 2013, 54 : 185 - 195
[34] Solvability of the Boundary-Value Problem for a Partial Quasilinear Differential Equation of the Fourth Order
Timergaliev, S. N.
Mavleev, I. R.
RUSSIAN MATHEMATICS, 2010, 54 (12) : 45 - 50
[35] ON SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR THE POISSON EQUATION WITH A NONLOCAL BOUNDARY OPERATOR
B.J.KADIRKULOV
M.KIRANE
Acta Mathematica Scientia(English Series), 2015, 35 (05) : 970 - 980
[36] ON SOLVABILITY OF A BOUNDARY VALUE PROBLEM FOR THE POISSON EQUATION WITH A NONLOCAL BOUNDARY OPERATOR
Kadirkulov, B. J.
Kirane, M.
ACTA MATHEMATICA SCIENTIA, 2015, 35 (05) : 970 - 980
[37] On the solvability of an initial-boundary value problem for a nonlinear integro-differential equation with a noncompact operator of Hammerstein type
Khachatryan, Kh. A.
TRUDY INSTITUTA MATEMATIKI I MEKHANIKI URO RAN, 2013, 19 (03): : 308 - 315
[38] SOLVABILITY OF A BOUNDARY-VALUE PROBLEM FOR A HIGH-ORDER EQUATION OF MIXED TYPE
EGOROV, IE
DIFFERENTIAL EQUATIONS, 1987, 23 (09) : 1075 - 1081
[39] On the Initial-Boundary Value Problem for the Linearized Boussinesq Equation
Himonas, A. Alexandrou
Mantzavinos, Dionyssios
STUDIES IN APPLIED MATHEMATICS, 2015, 134 (01) : 62 - 100
[40] A Nonhomogeneous Boundary Value Problem for the Boussinesq Equation on a Bounded Domain
Li, Sheng-Hao
Rivas, Ivonne
Zhang, Bing-Yu
JOURNAL OF MATHEMATICAL STUDY, 2016, 49 (03): : 238 - 258

← 1 2 3 4 5 →