数学物理学报(英文版) ›› 2001, Vol. 21 ›› Issue (1): 50-60.

• 论文 • 上一篇    下一篇

SOME PROPERTIES OF INTEGRATED BISEMIGROUPS

许跟起|冯德兴   

  1. Institute of Systems Science, Academy of Mathematics and Systems Science
    Chinese Academy of Sciences, Beijing 100080, China
  • 出版日期:2001-01-06 发布日期:2001-01-06
  • 基金资助:

    This research was supported by the National Key Project of China and the Natural Science Foundation of Shanxi

SOME PROPERTIES OF INTEGRATED BISEMIGROUPS

 HU Gen-Qi, FENG De-Xing   

  1. Institute of Systems Science, Academy of Mathematics and Systems Science
    Chinese Academy of Sciences, Beijing 100080, China
  • Online:2001-01-06 Published:2001-01-06
  • Supported by:

    This research was supported by the National Key Project of China and the Natural Science Foundation of Shanxi

摘要:

Some properties of integrated bisemigroup S(t) of linear operators on a Ba- nach space X are studied. The structure of the positive and negative subspaces and theoperation of integrated bisemigroup on corresponding differentiable subspace Cn are es- tablished, respectively. The decomposition of the infinitesimal generator A of S(t) and other interested problems are also considered. As application, an abstract boundary value
problem is discussed.

关键词: Integrated bisemigroup, positive and negative subspace, abstract differential equation, boundary value problem

Abstract:

Some properties of integrated bisemigroup S(t) of linear operators on a Ba- nach space X are studied. The structure of the positive and negative subspaces and theoperation of integrated bisemigroup on corresponding differentiable subspace Cn are es- tablished, respectively. The decomposition of the infinitesimal generator A of S(t) and other interested problems are also considered. As application, an abstract boundary value
problem is discussed.

Key words: Integrated bisemigroup, positive and negative subspace, abstract differential equation, boundary value problem

中图分类号: 

  • 34B99