(Z)条件下Cosine算子函数的乘积扰动下的不变性质  

Stable properties of Cosine Function under Multiplicative Perturbations with the (Z)-condtion

作　　者：孙士国[1] 

机构地区：[1]山东科技大学信息与工程学院,山东泰安2671019

出　　处：《潍坊学院学报》2004年第2期3-5,共3页Journal of Weifang University

摘　　要：A生成Banach空间X上的指数有界cosine函数C(t),本文讨论了在满足(Z)条件的乘积扰动下C(t)的范数连续性,局部Lipschiz连续性仍保持不变,得到了一个逼近结果.Let A be the infinitesimal gencerator of an exponentially bounded cosine function C (t) in a Banach space X,the paper mainly discusses the properties of C (t),such as the norm continuity,local Lipscchitz continuity,which are preserved Under the multiplicative perturbation with the (Z)-condition

关 键 词：Cosine算子函数 乘积扰动 范数连续性 (Z)条件 

分 类 号：O177[理学—数学]