Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (11): 1331-1338.

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BOUNDEDNESS AND PERSISTENCE AND GLOBAL ASYMPTOTIC STABILITY FOR A CLASS OF DELAY DIFFERENCE EQUATIONS WITH HIGHER ORDER

LI Xian-yi   

  1. 1. Department of Mathematics and Physics, Nanhua University, Hengyang, Hunan 421001, P. R. China;
    2. Department of Mathematics, East China Normal University, Shanghai 200062, P. R. China
  • Received:2001-03-27 Revised:2002-06-18 Online:2002-11-18 Published:2002-11-18
  • Supported by:
    the Mathematical Tianyuan Foundation of China(TY10026002-01-05-03);the Scientific Investigation Foundation of the Education Committee of Hunan Province(81-99C146)

Abstract: Some sufficient conditions for boundedness and persistence and global asymptotic stability of solutions for a class of delay difference equations with higher order are obtained, which partly solve GLadas’ two open problems and extend some known results.

Key words: delay difference equation, boundedness and persistence, global asymptotic stability, open problem

2010 MSC Number: 

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