Acta mathematica scientia,Series A ›› 2011, Vol. 31 ›› Issue (2): 439-446.

• Articles • Previous Articles     Next Articles

The Solutions of Linear Dynamical Equations in Commutative Banach Algebra on Time Scales

 FENG Yao-Ling   

  1. Institute of Mathematics, Jilin University, Changchun 130012|Department of Applied Mathematics, Jilin University of Finance and Economics, Changchun 130117
  • Received:2009-05-18 Revised:2010-11-04 Online:2011-04-25 Published:2011-04-25
  • Supported by:

    国家自然科学基金(10971079, 10671031)、高校博士点基金(20050183002)、教育部新世纪优秀人才支持计划(08-0755)、长春税务学院青年项目(2008006)、吉林省教育厅``十一五"科学技术研究项目(2009514)、吉林省教育厅重点教研项目(2008193)和吉林财经大学博士基金(10XB20)资助

Abstract:

In this paper, using functional calculus and spectrum theory of Banach algebra, we give an explicit formula of the general exponential function in Banach algebra on time scales which improves the one in real number. We also prove it to be the unique solution of the IVP of linear dynamical equations in unital commutative Banach algebra on time scales.

Key words: Time scales, Exponential function, Linear equation, Banach algebra

CLC Number: 

  • 34A05
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