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

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

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

李先义

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

收稿日期:2001-03-27 修回日期:2002-06-18 出版日期:2002-11-18 发布日期:2002-11-18
基金资助:
the Mathematical Tianyuan Foundation of China(TY10026002-01-05-03);the Scientific Investigation Foundation of the Education Committee of Hunan Province(81-99C146)

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

LI Xian-yi

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)

摘要/Abstract

摘要： 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.

关键词: delay difference equation, boundedness and persistence, global asymptotic stability, open problem

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

中图分类号:

O175.7

李先义. BOUNDEDNESS AND PERSISTENCE AND GLOBAL ASYMPTOTIC STABILITY FOR A CLASS OF DELAY DIFFERENCE EQUATIONS WITH HIGHER ORDER[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(11): 1331-1338.

LI Xian-yi. BOUNDEDNESS AND PERSISTENCE AND GLOBAL ASYMPTOTIC STABILITY FOR A CLASS OF DELAY DIFFERENCE EQUATIONS WITH HIGHER ORDER[J]. Applied Mathematics and Mechanics (English Edition), 2002, 23(11): 1331-1338.

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

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

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