EVOLUTION DIFFERENTIAL EQUATIONS IN FRECHET SEQUENCE SPACES

被引：1

作者：

Zubelevich, Oleg ^{[1
]}

机构：

[1] Moscow MV Lomonosov State Univ, Mech & Math Fac, Dept Theoret Mech, Moscow 119899, Russia

来源：

COLLOQUIUM MATHEMATICUM | 2016年 / 143卷 / 02期

关键词：

Cauchy Kovalevskaya problem; infinite-dimensional evolution equations; infinite-order system of ODEs; countable system of ODEs;

D O I：

10.4064/cm6710-1-2016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider evolution differential equations in Frechet spaces with unconditional Schauder basis, and construct a version of the majorant functions method to obtain existence theorems for Cauchy problems. Applications to PDE are also considered.

引用

页码：251 / 264

页数：14

共 17 条

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