Acta mathematica scientia,Series B ›› 2001, Vol. 21 ›› Issue (1): 50-60.

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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

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

CLC Number: 

  • 34B99
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