ON THE ASYMPTOTIC BEHAVIOUR OF INDIVIDUAL ELEMENTS UNDER ONE-PARAMETER SEMIGROUPS

被引：0
|
作者：
Preda, Ciprian [1 ]
机构：
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
来源：
HOUSTON JOURNAL OF MATHEMATICS | 2009年 / 35卷 / 02期
关键词：
Strongly continuous semigroups; exponential stability; TAUBERIAN-THEOREMS; STABILITY;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let T = {T(t)}(t >= 0) be a strongly continuous semigroup of linear operators on the Banach space X. We point out a sufficient condition to guarantee an exponential decay (as t -> infinity) of an individual trajectory t bar right arrow T(t)x(0)
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页码：619 / 626
页数：8
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