The Cauchy problem for certain systems of operator-differential equations of arbitrary order in locally convex spaces

被引：1

作者：

Aksenov, N. A.

机构：

[1] Orel State University, Orel

来源：

MATHEMATICAL NOTES | 2011年 / 90卷 / 1-2期

关键词：

Cauchy problem; operator-differential equation; Cauchy-Kovalevskaya sufficient conditions; locally convex space; linear operator; polycylinder; multiple power series; Cauchy-Hadamard formula;

D O I：

10.1134/S0001434611070182

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe an analog of the Cauchy-Kovalevskaya sufficient conditions for the analytic solvability of the Cauchy problem for systems of operator-differential equations of arbitrary order in locally convex spaces; this analog is stated in terms of the order and type of the linear operator.

引用

页码：175 / 188

页数：14

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