数学物理学报(英文版) ›› 1994, Vol. 14 ›› Issue (1): 107-119.

• 论文 • 上一篇    

EXPONENTIALLY BOUNDED C-SEMIGROUPS AND INTEGRATED SEMIGROUPS WITH NONDENSELY DEFINED GENERATORS Ⅲ: ANALYTICITY

郑权1, 雷岩松2   

  1. 1. Dept. of Math., Huazhong Univ. of Sci. and Tech., Wuhan 430074, China;
    2. Dept. of Math., China Univ. of Ceosci., Wuhan 430074, China
  • 收稿日期:1991-08-19 出版日期:1994-03-25 发布日期:1994-03-25
  • 基金资助:
    The Project supported by National Science Foundation of China.

EXPONENTIALLY BOUNDED C-SEMIGROUPS AND INTEGRATED SEMIGROUPS WITH NONDENSELY DEFINED GENERATORS Ⅲ: ANALYTICITY

Zhang Quan1, Lei Yansong2   

  1. 1. Dept. of Math., Huazhong Univ. of Sci. and Tech., Wuhan 430074, China;
    2. Dept. of Math., China Univ. of Ceosci., Wuhan 430074, China
  • Received:1991-08-19 Online:1994-03-25 Published:1994-03-25
  • Supported by:
    The Project supported by National Science Foundation of China.

摘要: This paper concerns analytic integrated C-semigroups, analytic C-semigroups and analytic integrated semigroups with nondensely defined generators. The main purpose of this paper is to establish some generation theorems for these semigroups, which improve and perfect the related results given by Da Prato, deLaubenfels, Neubrander and others. Moreover, several perturbation theorems are also included.

Abstract: This paper concerns analytic integrated C-semigroups, analytic C-semigroups and analytic integrated semigroups with nondensely defined generators. The main purpose of this paper is to establish some generation theorems for these semigroups, which improve and perfect the related results given by Da Prato, deLaubenfels, Neubrander and others. Moreover, several perturbation theorems are also included.