On a nonlocal boundary value problem for parabolic-hyperbolic type equation

被引：1

作者：

Karahan, Done ^{[1
]}

Mamedov, Hanlar R. ^{[2
]}

机构：

[1] Harran Univ, Dept Math, Sanliurfa, Turkiye

[2] Igdir Univ, Dept Math, Igdir, Turkiye

来源：

NOTE DI MATEMATICA | 2023年 / 43卷 / 01期

关键词：

parabolic-hyperbolic equation; initial-boundary value problem; spectral method; unique solvability;

D O I：

10.1285/i15900932v43n1p57

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the mixed type equation with the nonlocal boundary condition and the initial condition. A uniqueness for the solvability of this boundary problem is shown.

引用

页码：57 / 65

页数：9

共 50 条

[1] 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
[2] 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
[3] Nonlocal problem for a parabolic-hyperbolic equation in a rectangular domain
Sabitov, K. B.
MATHEMATICAL NOTES, 2011, 89 (3-4) : 562 - 567
[4] Nonlocal problem for a parabolic-hyperbolic equation in a rectangular domain
K. B. Sabitov
Mathematical Notes, 2011, 89 : 562 - 567
[5] Inverse Problem for Degenerate Parabolic-Hyperbolic Equation with Nonlocal Boundary Condition
Sabitov, K. B.
Sidorov, S. N.
RUSSIAN MATHEMATICS, 2015, 59 (01) : 39 - 50
[6] A Nonlocal Boundary Value Problem with the Frankl Condition for an Equation of Mixed Parabolic-Hyperbolic Type with the Fractional Gerasimov-Caputo Operator
Islomov, B. I.
Akhmadov, I. A.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2022, 43 (03) : 755 - 761
[7] Unique solvability of a nonlocal problem with shift for a parabolic-hyperbolic equation
Urinov, Ak
Mamanazarov, Ao
VESTNIK UDMURTSKOGO UNIVERSITETA-MATEMATIKA MEKHANIKA KOMPYUTERNYE NAUKI, 2020, 30 (02): : 270 - 289
[8] A Nonlocal Boundary Value Problem with the Frankl Condition for an Equation of Mixed Parabolic-Hyperbolic Type with the Fractional Gerasimov–Caputo Operator
B. I. Islomov
I. A. Akhmadov
Lobachevskii Journal of Mathematics, 2022, 43 : 755 - 761
[9] THE BOUNDARY VALUE PROBLEM FOR THE LOADED EQUATION OF MIXED PARABOLIC-HYPERBOLIC TYPE IN RECTANGULAR AREA
Tarasenko, A. V.
VESTNIK SAMARSKOGO GOSUDARSTVENNOGO TEKHNICHESKOGO UNIVERSITETA-SERIYA-FIZIKO-MATEMATICHESKIYE NAUKI, 2010, (05): : 263 - 267
[10] On a Boundary Value Problem for a Third-Order Equation of Parabolic-Hyperbolic Type with a Fractional Order Operator
Kadirkulov, B. J.
Jalilov, M. A.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2023, 44 (07) : 2725 - 2737

← 1 2 3 4 5 →