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

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