The inverse problem for an equation of mixed parabolic-hyperbolic type

被引：0

作者：

K. B. Sabitov

É. M. Safin

机构：

[1] Sterlitamak Branch of the Academy of Sciences of the Republic of Bashkortostan,

来源：

Mathematical Notes | 2010年 / 87卷

关键词：

equation of mixed parabolic-hyperbolic type; spectral problem; irrational algebraic number; Weierstrass test for uniform convergence;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We study the inverse problem related to finding the unknown right-hand side of the equation of mixed parabolic-hyperbolic type in a rectangular domain. A uniqueness criterion for the solution is established. The solution is constructed as the sum of the series in eigenfunctions of the corresponding one-dimensional spectral problem.

引用

页码：880 / 889

页数：9

共 50 条

[1] The inverse problem for an equation of mixed parabolic-hyperbolic type
Sabitov, K. B.
Safin, E. M.
[J]. MATHEMATICAL NOTES, 2010, 87 (5-6) : 880 - 889
[2] The inverse problem for a mixed-type parabolic-hyperbolic equation in a rectangular domain
Sabitov K.B.
Safin E.M.
[J]. Russian Mathematics, 2010, 54 (4) : 48 - 54
[3] Inverse problem for an equation of mixed parabolic-hyperbolic type with a characteristic line of change
Durdiev, D. K.
[J]. VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2023, 27 (04): : 607 - 620
[4] SPATIAL PROBLEM FOR AN EQUATION OF MIXED PARABOLIC-HYPERBOLIC TYPE
DZHURAEV, TD
SOPUEV, A
[J]. DIFFERENTIAL EQUATIONS, 1981, 17 (01) : 33 - 39
[5] On a problem of the Frankl type for an equation of the mixed parabolic-hyperbolic type
Kal'menov, Tynysbek Sh.
Sadybekov, Makhmud
[J]. INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2016), 2016, 1759
[6] Coefficient Inverse Problem for an Equation of Mixed Parabolic-Hyperbolic Type with a Noncharacteristic Line of Type Change
Durdiev, D. K.
[J]. RUSSIAN MATHEMATICS, 2024, 68 (03) : 31 - 40
[7] On a Frankl-type problem for a mixed parabolic-hyperbolic equation
T. Sh. Kal’menov
M. A. Sadybekov
[J]. Siberian Mathematical Journal, 2017, 58 : 227 - 231
[8] 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 - &
[9] On a Frankl-type problem for a mixed parabolic-hyperbolic equation
Kal'menov, T. Sh.
Sadybekov, M. A.
[J]. SIBERIAN MATHEMATICAL JOURNAL, 2017, 58 (02) : 227 - 231
[10] 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

← 1 2 3 4 5 →