Partial difference equations: Cauchy problem and fundamental solutions

被引：0

作者：

Gregor, J ^{[1
]}

Veit, J ^{[1
]}

机构：

[1] Czech Tech Univ, Fac Elect Engn, Dept Math, Prague 16627 6, Czech Republic

来源：

NEW DEVELOPMENTS IN DIFFERENCE EQUATIONS AND APPLICATIONS | 1999年

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Partial difference equations are functional equations for functions defined on subsets of the rectagonal grid Z(n). In this paper mainly linear equations are considered. Existence and uniqueness theorems for both initial and boundary value problems are formulated with some hints to their proofs. Estimates of solutions are given. Fundamental solutions, convolutional solutions and further concepts known from partial differential equations theory are discussed. Detailed references to the proofs are given.

引用

页码：217 / 228

页数：12

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