SYSTEMS OF ESSENTIALLY INFINITE-DIMENSIONAL DIFFERENTIAL EQUATIONS

被引：0

作者：

Statkevych, V. M. ^{[1
]}

机构：

[1] Kyiv Polytech Inst Ukrainian Natl Tech Univ, Kiev, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2012年 / 63卷 / 09期

关键词：

Cauchy Problem; English Translation; Elliptic Operator; Banach Algebra; Real Hilbert Space;

D O I：

10.1007/s11253-012-0589-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate systems of differential equations with essentially infinite-dimensional elliptic operators (of the Laplace-Levy type). For nonlinear systems, we prove theorems on the existence and uniqueness of solutions. For a linear system, we give an explicit formula for the solution.

引用

页码：1433 / 1440

页数：8

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