Fundamental solution matrix of the Cauchy problem for a class of systems of Kolmogorov type equations

被引：5

作者：

Malyts'ka, H. P. ^{[1
]}

机构：

[1] V Stefanyk Preparatory Natl Univ, Ivano Frankivsk, Ukraine

来源：

DIFFERENTIAL EQUATIONS | 2010年 / 46卷 / 05期

关键词：

Cauchy Problem; Entire Function; Function Versus; Fundamental Solution; Characteristic Line;

D O I：

10.1134/S0012266110050150

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a system of linear degenerate parabolic equations that generalize diffusion equations with inertia; the coefficients of the system depend on time. We construct the fundamental solution matrix of the Cauchy problem, analyze its properties, and estimate its derivatives.

引用

页码：753 / 757

页数：5

共 50 条

[1] Fundamental solution matrix of the Cauchy problem for a class of systems of Kolmogorov type equations
H. P. Malyts’ka
[J]. Differential Equations, 2010, 46 : 753 - 757
[2] On the Fundamental Solution of the Cauchy Problem for Kolmogorov Systems of the Second Order
H. P. Malyts’ka
I. V. Burtnyak
[J]. Ukrainian Mathematical Journal, 2019, 70 : 1275 - 1287
[3] ON THE FUNDAMENTAL SOLUTION OF THE CAUCHY PROBLEM FOR KOLMOGOROV SYSTEMS OF THE SECOND ORDER
Malyts'ka, H. P.
Burtnyak, I. V.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2019, 70 (08) : 1275 - 1287
[4] Fundamental Solution of the Cauchy Problem for Degenerate Parabolic Kolmogorov-Type Equations of Any Order
Ivasyshen S.D.
Medynsky І.P.
[J]. Journal of Mathematical Sciences, 2021, 258 (4) : 369 - 391
[5] Fundamental solutions of the Cauchy problem for some degenerate parabolic equations of the Kolmogorov type
Ivasyshen, S. D.
Layuk, V. V.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2012, 63 (11) : 1670 - 1705
[6] Fundamental solutions of the Cauchy problem for some degenerate parabolic equations of the Kolmogorov type
S. D. Ivasyshen
V. V. Layuk
[J]. Ukrainian Mathematical Journal, 2012, 63 : 1670 - 1705
[7] The fundamental matrix of solutions of the Cauchy problem for a class of parabolic systems of the Shilov type with variable coefficients
Litovchenko V.A.
Dovzhitska I.M.
[J]. Journal of Mathematical Sciences, 2011, 175 (4) : 450 - 476
[8] FUNDAMENTAL SOLUTION OF CAUCHY-PROBLEM FOR ONE CLASS OF PARABOLIC PSEUDODIFFERENTIAL EQUATIONS
DRIN, JM
[J]. DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1977, (03): : 198 - 203
[9] Cauchy problem for one class of degenerate parabolic equations of Kolmogorov type with positive genus
S. D. Ivasyshen
V. A. Litovchenko
[J]. Ukrainian Mathematical Journal, 2009, 61 : 1264 - 1288
[10] Cauchy problem for a class of degenerate kolmogorov-type parabolic equations with nonpositive genus
S.D. Ivasyshen
V. A. Litovchenko
[J]. Ukrainian Mathematical Journal, 2011, 62 : 1543 - 1566

← 1 2 3 4 5 →