SEMIGROUPS AND STABILITY OF NONAUTONOMOUS DIFFERENTIAL-EQUATIONS IN BANACH-SPACES

被引：18

作者：

VANMINH, N ^{[1
]}

机构：

[1] BYELORUSSIAN STATE UNIV, DEPT MECH & MATH, MINSK 220080, BELARUS

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 1994年 / 345卷 / 01期

关键词：

WEIGHTED TRANSLATION OPERATOR; SEMIGROUP; DIFFERENTIAL OPERATOR; UNIFORM STABILITY; DICHOTOMY; STABILITY OF INDIVIDUAL SOLUTIONS;

D O I：

10.2307/2154602

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with nonautonomous differential equations in Banach spaces. Using the theory of semigroups of linear and nonlinear operators one investigates the semigroups of weighted translation operators associated with the underlying equations. Necessary and sufficient conditions for different types of stability are given in terms of spectral properties of the translation operators and the differential operators associated with the equations.

引用

页码：223 / 241

页数：19

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