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

被引：0

作者：

H. P. Malyts’ka

机构：

[1] V. Stefanyk Preparatory National University,

来源：

Differential Equations | 2010年 / 46卷

关键词：

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

D O I：

暂无

中图分类号：

学科分类号：

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：4

共 50 条

[21] Solution of weighted Cauchy problem for a class of Huygens equations
A. H. Hovhannisyan
S. G. Rafayelyan
[J]. Journal of Contemporary Mathematical Analysis, 2007, 42 (5) : 292 - 295
[22] On an Approximate Solution of the Cauchy Problem for Systems of Equations of Elliptic Type of the First Order
Juraev, Davron Aslonqulovich
Shokri, Ali
Marian, Daniela
[J]. ENTROPY, 2022, 24 (07)
[23] DOUBLE BIFURCATED FUNDAMENTAL SOLUTION OF CAUCHY PROBLEM FOR ONE CLASS OF B-PARABOLIC SYSTEMS
LENYUK, MP
[J]. DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR, 1971, (04): : 306 - &
[24] THE SOLUTION TO THE CAUCHY-PROBLEM FOR A CLASS OF NONLINEAR INTEGRODIFFERENTIAL EQUATIONS
BONZANI, I
VACCA, MT
[J]. APPLIED MATHEMATICS LETTERS, 1995, 8 (04) : 25 - 28
[25] Fundamental Solution of the Cauchy Problem for the Shilov-Type Parabolic Systems with Coefficients of Bounded Smoothness
Litovchenko, V. A.
Unhuryan, H. M.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2017, 69 (03) : 406 - 425
[26] Fundamental Solution of the Cauchy Problem for the Shilov-Type Parabolic Systems with Coefficients of Bounded Smoothness
V. A. Litovchenko
H. M. Unhuryan
[J]. Ukrainian Mathematical Journal, 2017, 69 : 406 - 425
[27] CAUCHY-PROBLEM FOR A CLASS OF SEMILINEAR EQUATIONS OF SOBOLEV TYPE
SVIRIDYUK, GA
SUKACHEVA, TG
[J]. SIBERIAN MATHEMATICAL JOURNAL, 1990, 31 (05) : 794 - 802
[28] On the solution of the inverse problem for a class of canonical systems corresponding to matrix string equations
Sakhnovich, Alexander
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 318 : 537 - 556
[29] On the Cauchy type problem for systems of functional differential equations
Sremr, Jiri
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2007, 67 (12) : 3240 - 3260
[30] LEVEL SETS OF THE FUNDAMENTAL SOLUTION AND HARNACK INEQUALITY FOR DEGENERATE EQUATIONS OF KOLMOGOROV TYPE
GAROFALO, N
LANCONELLI, E
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1990, 321 (02) : 775 - 792

← 1 2 3 4 5 →