On a Seminonlocal Boundary Value Problem for a Multidimensional Loaded Mixed Type Equation of the Second Kind

被引：4

作者：

Dzhamalov, S. Z. ^{[1
]}

Ashurov, R. R. ^{[1
]}

Ruziev, U. Sh ^{[1
]}

机构：

[1] Uzbek Acad Sci, Inst Math, Tashkent 100170, Uzbekistan

来源：

LOBACHEVSKII JOURNAL OF MATHEMATICS | 2021年 / 42卷 / 03期

关键词：

multidimensional loaded mixed type equation of the second kind; second order; seminonlocal boundary value problem; correctness of a problem; epsilon-regularizations" method; a priori estimate; successive approximation; LINEAR INVERSE PROBLEM; SOLVABILITY;

D O I：

10.1134/S1995080221030094

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we consider of a multidimensional loaded mixed type equation of the second order with some seminonlocal conditions on the coefficients. The existence and uniqueness of solution of the seminonlocal boundary value problem of second kind is proved in the Sobolev space W 3/2 (Q). In proof of the theorems are used the methods of "epsilon-regularizations", a priori estimate and successive approximations.

引用

页码：536 / 543

页数：8

共 50 条

[41] The dirichlet problem for a mixed-type equation of the second kind in a rectangular domain
K. B. Sabitov
A. Kh. Suleimanova
Russian Mathematics, 2007, 51 (4) : 42 - 50
[42] Keldysh Problem for a Mixed-Type Equation of the Second Kind with the Bessel Operator
Safina, R. M.
DIFFERENTIAL EQUATIONS, 2015, 51 (10) : 1347 - 1359
[43] Keldysh problem for a mixed-type equation of the second kind with the Bessel operator
R. M. Safina
Differential Equations, 2015, 51 : 1347 - 1359
[44] On the Dirichlet problem for a mixed-type equation of the second kind with strong degeneration
Khairullin, R. S.
DIFFERENTIAL EQUATIONS, 2013, 49 (04) : 510 - 516
[45] An analog of the Frankl problem for a second-kind mixed-type equation
Urinov A.K.
Farmonov S.R.
Journal of Mathematical Sciences, 2013, 194 (5) : 573 - 583
[46] The Dirichlet Problem for a Mixed-Type Equation of the Second Kind in a Rectangular Domain
Sabitov, K. B.
Suleimanova, A. Kh.
RUSSIAN MATHEMATICS, 2007, 51 (04) : 42 - 50
[47] On the Dirichlet problem for a mixed-type equation of the second kind with strong degeneration
R. S. Khairullin
Differential Equations, 2013, 49 : 510 - 516
[48] Numerical method for solving an initial-boundary value problem for a multidimensional loaded parabolic equation of a general form with conditions of the third kind
Beshtokova, Z. V.
VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2022, 26 (01): : 7 - 35
[49] Nonlocal Boundary-Value Problem for a Parabolic-Hyperbolic Equation of the Second Kind
Urinov, A. K.
Okboev, A. B.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2020, 41 (09) : 1886 - 1897
[50] Nonlocal Boundary-Value Problem for a Parabolic-Hyperbolic Equation of the Second Kind
A. K. Urinov
A. B. Okboev
Lobachevskii Journal of Mathematics, 2020, 41 : 1886 - 1897

← 1 2 3 4 5 →