STABILITY IN TOTALLY NONLINEAR DELAY DIFFERENCE EQUATIONS

被引:0
|
作者
Ardjouni, Abdelouaheb [1 ]
Djoudi, Ahcene [2 ]
机构
[1] Univ Souk Ahras, Fac Sci & Technol, Dept Math & Informat, POB 1553, Souk Ahras 41000, Algeria
[2] Univ Annaba, Fac Sci, Dept Math, Appl Math Lab, POB 12, Annaba 23000, Algeria
来源
关键词
Fixed point; stability; delay difference equations; FIXED-POINT THEORY; EXPONENTIAL STABILITY; ASYMPTOTIC STABILITY; DISCRETE-SYSTEMS; ORDER; PERIODICITY; THEOREMS;
D O I
10.11948/2016027
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we use fixed point method to prove asymptotic stability results of the zero solution of a nonlinear delay difference equation. An asymptotic stability theorem with a sufficient condition is proved, which improves and generalizes some results due to Raffoul (2006) [23], Yankson (2009) [27], Jin and Luo (2009) [1.7] and Chen (2013) [9].
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页码:350 / 366
页数:17
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