Tricomi problem for mixed parabolic-hyperbolic equation with dynamic-type boundary condition

被引：0

作者：

Derbissaly, Bauyrzhan ^{[1
]}

机构：

[1] Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan

来源：

QUAESTIONES MATHEMATICAE | 2024年 / 47卷 / 08期

关键词：

Parabolic-hyperbolic type equation; Tricomi problem; dynamic-type boundary condition; problem with spectral parameter in boundary condition; Riesz basis; EIGENVALUE PARAMETER; SPECTRAL PROBLEM;

D O I：

10.2989/16073606.2024.2327565

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study an analogue of Tricomi problem for a parabolichyperbolic equation of the first type. To solve the problem for the heat equation, we use properties of the spectral problem with a spectral parameter in the boundary conditions. We show the basicity of the spectral problem with the spectral parameter in the boundary conditions. The conditions for the correctness of the formulated Tricomi problem are found.

引用

页码：1545 / 1557

页数：13

共 50 条

[1] Tricomi Problem for Mixed Parabolic-Hyperbolic Equation with Higher Order Boundary Condition
Derbissaly, Bauyrzhan
Sadybekov, Makhmud
[J]. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2023, 49 (04)
[2] Tricomi Problem for a Mixed Parabolic-Hyperbolic Equation in a Rectangular Domain
Sabitov, K. B.
[J]. MATHEMATICAL NOTES, 2009, 86 (1-2) : 249 - 254
[3] Tricomi problem for a mixed parabolic-hyperbolic equation in a rectangular domain
K. B. Sabitov
[J]. Mathematical Notes, 2009, 86 : 249 - 254
[4] A BOUNDARY VALUE PROBLEM FOR A MIXED PARABOLIC-HYPERBOLIC TYPE OF EQUATION
BZHIKHAT.KG
NAKHUSHE.AM
[J]. DOKLADY AKADEMII NAUK SSSR, 1968, 183 (02): : 261 - &
[5] On an inhomogeneous Tricomi problem for a parabolic-hyperbolic equation
N. Yu. Kapustin
[J]. Differential Equations, 2017, 53 : 1340 - 1345
[6] On an Inhomogeneous Tricomi Problem for a Parabolic-Hyperbolic Equation
Kapustin, N. Yu.
[J]. DIFFERENTIAL EQUATIONS, 2017, 53 (10) : 1340 - 1345
[7] Tricomi Problem for Mixed Parabolic–Hyperbolic Equation with Higher Order Boundary Condition
Bauyrzhan Derbissaly
Makhmud Sadybekov
[J]. Bulletin of the Iranian Mathematical Society, 2023, 49
[8] Inverse problem for an equation of parabolic-hyperbolic type with a nonlocal boundary condition
Sabitov, K. B.
Yunusova, G. R.
[J]. DIFFERENTIAL EQUATIONS, 2012, 48 (02) : 246 - 254
[9] Inverse problem for an equation of parabolic-hyperbolic type with a nonlocal boundary condition
K. B. Sabitov
G. R. Yunusova
[J]. Differential Equations, 2012, 48 : 246 - 254
[10] SPATIAL PROBLEM FOR AN EQUATION OF MIXED PARABOLIC-HYPERBOLIC TYPE
DZHURAEV, TD
SOPUEV, A
[J]. DIFFERENTIAL EQUATIONS, 1981, 17 (01) : 33 - 39

← 1 2 3 4 5 →