Banach空间中算子余弦函数的一个特征  

A characteristic of cosine operator functions in Banach spaces

作　　者：王如海[1] 雷呈凤[1] 

机构地区：[1]南昌航空工业学院应用工程系

出　　处：《南昌航空工业学院学报》1999年第2期49-53,共5页Journal of Nanchang Institute of Aeronautical Technology（Natural Science Edition）

摘　　要：本文主要研究Ｂａｎａｃｈ空间中算子余弦函数与二阶无阻尼方程的Ｃａｕｃｈｙ问题之间的某些关系，借助于此类Ｃａｕｃｈｙ问题的解的存在性与唯一性，给出算子余弦函数无穷小生成元的不同于Ｈｉｌｅ－Ｙｏｓｉｄａ型特征的另一个特征。In the present pater,some relationship between cosine operator functions in Banach spaces and the Cauchy problem of second order undamped differential equations was studied,and by means of the existence and uniqueness of the Cauchy problem,a characterization of the infinitesimal generator of cosine operator functions which is different from the one of Hille-Yosida type was proposed.

关 键 词：算子余弦函数 CAUCHY问题 巴盒赫空间 

分 类 号：O177.2[理学—数学]