ASYMPTOTIC BEHAVIOR OF SOLUTIONS FOR A CLASS OF DELAY DIFFERENCE EQUATION  

作　　者：ZhuHuiyan HuangLihong 

机构地区：[1]Dept.ofMath.andPhysics,NanhuaUniversity,Hengyang421001 [2]CollegeofMath.andEconometrics,HunanUniversity,Changsha410082

出　　处：《Annals of Differential Equations》2005年第1期99-105,共7页微分方程年刊（英文版）

基　　金：Research supported by National Natural Science Foundation of China (10071016)the Key Research Program of Science and Technology of the Ministry of Education of China, the Doctor Program Foundation of the Ministry of Education of China (20010532002)Foundation for University Excellent Teacher by the Ministry of Education.

摘　　要：We propose a class of delay difference equation with piecewise constant nonlinearity. Such a delay difference equation can be regarded as the discrete analog of a differential equation. The convergence of solutions and the existence of asymptotically stable periodic solutions are investigated for such a class of difference equation.We propose a class of delay difference equation with piecewise constant nonlinearity. Such a delay difference equation can be regarded as the discrete analog of a differential equation. The convergence of solutions and the existence of asymptotically stable periodic solutions are investigated for such a class of difference equation.

关 键 词：difference equation asymptotic behavior CONVERGENCE PERIODICITY 

分 类 号：O175.7[理学—数学]