A Generalization of Bitsadze-Samarskii Problem for Mixed Type Equation

被引：2

作者：

Mirsaburov, M. ^{[1
]}

Khairullaev, I. N. ^{[1
]}

Bobomurodov, U. E. ^{[1
]}

机构：

[1] Termez State Univ, Ul F Khodzhaeva, Termez 190111, Uzbekistan

来源：

RUSSIAN MATHEMATICS | 2016年 / 60卷 / 10期

关键词：

Bitsadze-Samarskii condition; functional equation; Tricomi type integral equation; index;

D O I：

10.3103/S1066369X16100054

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a boundary-value problem with Bitsadze-Samarskii conditions on boundary characteristic on a special inner curve and on a segment of degeneration of mixed type equation. Its solvability is proved by method of integral equations, and uniqueness of solution is established by means of the maximum principle.

引用

页码：29 / 32

页数：4

共 50 条

[31] A boundary value problem for a class of mixed equations with the Bitsadze-Samarskii condition on parallel characteristics
Mirsaburov, M
DIFFERENTIAL EQUATIONS, 2001, 37 (09) : 1349 - 1353
[32] The Bitsadze–Samarskii Type Problem for Mixed Type Equation in the Domain with the Deviation from the Characteristics
H. Al -Shamsi
B. J. Kadirkulov
S. Kerbal
Lobachevskii Journal of Mathematics, 2020, 41 : 1021 - 1030
[33] A note on the Bitsadze-Samarskii type nonlocal boundary value problem in a Banach space
Ashyralyev, Allaberen
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 344 (01) : 557 - 573
[34] Problem of Bitsadze-Samarskii type for second-order elliptic systems in the plane
Soldatov, A. P.
DOKLADY MATHEMATICS, 2006, 74 (02) : 736 - 740
[35] Solution of the Bitsadze-Samarskii Problem for a Parabolic System in a Semibounded Domain
Baderko, E. A.
Cherepova, M. F.
DIFFERENTIAL EQUATIONS, 2017, 53 (10) : 1294 - 1302
[36] Finite Difference Method for Bitsadze-Samarskii Type Overdetermined Elliptic Problem with Dirichlet Conditions
Ashyralyyev, Charyyar
Akyuz, Gulzipa
FILOMAT, 2018, 32 (03) : 859 - 872
[37] Bitsadze-Samarskii problem for parabolic systems with Dini continuous coefficients
Baderko, E. A.
Cherepova, M. F.
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2019, 64 (05) : 753 - 765
[38] Problem with a Bitsadze–Samarskii Condition on Parallel Characteristics for a Mixed Type Equation of the Second Kind
M. Mirsaburov
N. B. Islomov
Differential Equations, 2021, 57 : 1358 - 1371
[39] Stability estimates for solution of Bitsadze-Samarskii type inverse elliptic problem with Dirichlet conditions
Ashyralyyev, Charyyar
Akyuz, Gulzipa
INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016), 2016, 1759
[40] On general Bitsadze-Samarskii problems of elliptic type in Lp cases
Hamdi, Brahim
Maingot, Stephane
Medeghri, Ahmed
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2021, 70 (03) : 1685 - 1708

← 1 2 3 4 5 →