Solvability of the Dirichlet Problem for a Mixed-Type Equation of the Second Kind

被引：8

作者：

Khairullin, R. S. ^{[1
]}

机构：

[1] Kazan State Univ Architecture & Engn, Kazan 420043, Russia

来源：

DIFFERENTIAL EQUATIONS | 2017年 / 53卷 / 05期

关键词：

D O I：

10.1134/S0012266117050111

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain sufficient conditions for the solvability of the Dirichlet problem for a mixed-type equation of the second kind in a rectangular domain. The solution is represented by a convergent series constructed from the problem data. Some cases of nonuniqueness of the solution are described.

引用

页码：677 / 685

页数：9

共 50 条

[1] Solvability of the Dirichlet problem for a mixed-type equation of the second kind
R. S. Khairullin
[J]. Differential Equations, 2017, 53 : 677 - 685
[2] The dirichlet problem for a mixed-type equation of the second kind in a rectangular domain
K. B. Sabitov
A. Kh. Suleimanova
[J]. Russian Mathematics, 2007, 51 (4) : 42 - 50
[3] On the Dirichlet problem for a mixed-type equation of the second kind with strong degeneration
Khairullin, R. S.
[J]. DIFFERENTIAL EQUATIONS, 2013, 49 (04) : 510 - 516
[4] On the Dirichlet problem for a mixed-type equation of the second kind with strong degeneration
R. S. Khairullin
[J]. Differential Equations, 2013, 49 : 510 - 516
[5] The Dirichlet Problem for a Mixed-Type Equation of the Second Kind in a Rectangular Domain
Sabitov, K. B.
Suleimanova, A. Kh.
[J]. RUSSIAN MATHEMATICS, 2007, 51 (04) : 42 - 50
[6] A problem for a mixed-type equation of the second kind
Khairullin, RS
[J]. DIFFERENTIAL EQUATIONS, 2004, 40 (10) : 1483 - 1490
[7] A problem for a mixed-type equation of the second kind
R. S. Khairullin
[J]. Differential Equations, 2004, 40 : 1483 - 1490
[8] A problem for a mixed-type equation of the second kind
R. S. Khairullin
[J]. Differential Equations, 2004, 40 : 1483 - 1490
[9] An analog of the Frankl problem for a second-kind mixed-type equation
Urinov A.K.
Farmonov S.R.
[J]. Journal of Mathematical Sciences, 2013, 194 (5) : 573 - 583
[10] Keldysh Problem for a Mixed-Type Equation of the Second Kind with the Bessel Operator
Safina, R. M.
[J]. DIFFERENTIAL EQUATIONS, 2015, 51 (10) : 1347 - 1359

← 1 2 3 4 5 →