The Solution of a Mixed Problem for a Parabolic Type Equation with General Form Coefficients Under Unconventional Boundary Conditions

被引：0

作者：

Ahmadov, H. I. ^{[1
]}

机构：

[1] Baku State Univ, Dept Equat Math Phys, Baku, Azerbaijan

来源：

AZERBAIJAN JOURNAL OF MATHEMATICS | 2023年 / 13卷 / 01期

关键词：

mixed problem; time advance; residue method;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study one-dimensional mixed problem for a parabolic type equation with time-advance constant coefficients in the boundary conditions. Under minimum condi-tions on the initial data we prove the existence and unigueness of the considered mixed problem and obtain explicit analytical representation for the solution.

引用

页码：172 / 187

页数：16

共 50 条

[1] Mixed Problem for a Differential Equation with Involution Under Boundary Conditions of General Form
Sadybekov, M. A.
Sarsenbi, A. M.
FIRST INTERNATIONAL CONFERENCE ON ANALYSIS AND APPLIED MATHEMATICS (ICAAM 2012), 2012, 1470 : 225 - 227
[2] SOLUTION OF MIXED PROBLEM FOR THE ONE FOURTH ORDER DIFFERENTIAL EQUATION WITH MIXED DERIVATIVES UNDER THE GENERAL FORM OF LINEAR BOUNDARY CONDITIONS
Mammadova, N. Q.
Abbasova, A. Kh.
PROCEEDINGS OF THE7TH INTERNATIONAL CONFERENCE ON CONTROL AND OPTIMIZATION WITH INDUSTRIAL APPLICATIONS, VOL II, 2020, : 257 - 259
[3] BEHAVIOUR OF SOLUTION TO FIRST BOUNDARY VALUE PROBLEM WITH ZERO CONDITIONS AT BOUNDARY FOR A GENERAL PARABOLIC EQUATION
CHEREMNYKH, IN
DOKLADY AKADEMII NAUK SSSR, 1962, 143 (03): : 547 - &
[4] SOLUTION OF MIXED PROBLEM FOR A PARABOLIC EQUATION, AS DEPENDENT ON BOUNDARY CURVE
KAMYNIN, LI
DOKLADY AKADEMII NAUK SSSR, 1961, 140 (06): : 1944 - &
[5] A PROBLEM WITH MIXED BOUNDARY-CONDITIONS FOR A QUASILINEAR PARABOLIC EQUATION
GLAGOLEVA, RY
MATHEMATICAL NOTES, 1983, 34 (3-4) : 683 - 687
[6] SOLUTION OF A BOUNDARY-VALUE PROBLEM UNDER MIXED-TYPE BOUNDARY-CONDITIONS FOR ONE PARABOLIC-SYSTEM
MAMEDOV, NM
DOKLADY AKADEMII NAUK SSSR, 1984, 275 (02): : 365 - 368
[7] A BOUNDARY VALUE PROBLEM FOR A MIXED PARABOLIC-HYPERBOLIC TYPE OF EQUATION
BZHIKHAT.KG
NAKHUSHE.AM
DOKLADY AKADEMII NAUK SSSR, 1968, 183 (02): : 261 - &
[8] Uniqueness of the solution of one non-local boundary value problem for the mixed parabolic type equation
Karimov, E.T.
International Journal of Applied Mathematics and Statistics, 2007, 8 (MO7): : 44 - 48
[9] Uniqueness of the Solution of One Non-Local Boundary Value Problem for the Mixed Parabolic Type Equation
Karimov, E. T.
INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2007, 8 (M07): : 44 - 48
[10] Stabilization of the solution of the Cauchy problem for a parabolic equation in Nondivergence form with growing lower coefficients
Denisov, V. N.
DIFFERENTIAL EQUATIONS, 2013, 49 (05) : 569 - 582

← 1 2 3 4 5 →