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指数有界的C余弦算子函数

郑权;雷岩松   

  1. 华中理工大学数学系, 武汉 430074
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:1996-07-25 发布日期:1996-07-25

郑权;雷岩松. 指数有界的C余弦算子函数[J]. 系统科学与数学, 1996, 16(3): 242-252.

Zheng Quan;Lei Yansong. EXPONENTIALLY BOUNDED C-COSINE FUNCTIONS OF OPERATORS[J]. Journal of Systems Science and Mathematical Sciences, 1996, 16(3): 242-252.

EXPONENTIALLY BOUNDED C-COSINE FUNCTIONS OF OPERATORS

Zheng Quan; Lei Yansong   

  1. (1)Department of Mathematics,Huazhong University of Science and Technology,Wuhan 430074;(2)Department of Mathematics,Huazhong University of Science and Technology,Wuhan 430074
  • Received:1900-01-01 Revised:1900-01-01 Online:1996-07-25 Published:1996-07-25
本文引入了指数有界的C余弦算子函数的生成元,讨论了生成元的基本性质,建立了相应的生成定理、逼近定理及扰动定理.最后给出了指数有界的C余弦算子函数与指数有界的C半群的基本联系.
in this paper,the concept of the generator of an exponentially bounded Ccosine function is introduced.Basic properties,generation theorems,approximation theorems,and perturbation theorems for exponentially bounded C-cosine functions are given. Finally,the relationship between exponentially bounded C-cosine functions, exponentially bounded Csemigroups,and exponentially bounded intergrated cosine functions are obtained.
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