Acta mathematica scientia,Series A

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Stable Analysis for Dynamic Equations on Time Scales

ou liuman;Zhu Siming

  

  1. Department of Mathematics, Guangdong University of Business Studies, Guangzhou 510320
  • Received:2005-03-25 Revised:2006-07-10 Online:2008-04-25 Published:2008-04-25
  • Contact: ou liuman

Abstract:

Recently, a new theory known as dynamic equations on time scale has been built vigorously. In this paper, each kind of stability concepts and the Lyapunov's stability criteria (stable, uniformly stable, asymptotically stable, exponential asymptotically stable, etc.) are obtained for dynamic equations on time scale.

Key words: Time scale, Direct Lyapunov''s method, Dynamic equations, Stable criteria

CLC Number: 

  • 39A12
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