On Cauchy problem for parabolic differential-difference equations

被引：6

作者：

Muravnik, AB ^{[1
]}

机构：

[1] Moscow State Aviat Inst, Dept Differential Equat, Moscow 125871, Russia

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 51卷 / 02期

关键词：

fundamental solution; integral representation of Cauchy problem solution;

D O I：

10.1016/S0362-546X(01)00821-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A study of Cauchy problem for parabolic differential-difference equations was carried out. The classical solvability was also proved in a constructional way. The fundamental solution as well as an integral representation of the classical solution of Cauchy problem was designed. In solving the Cauchy problem, consideration is restricted to the linearized prototype.

引用

页码：215 / 238

页数：24

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