New criteria for stability of neutral differential equations with variable delays by fixed points method

被引：5
作者：
Zhao, Dianli [1 ,2 ]
机构：
[1] Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China
[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200240, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2011年
关键词：
fixed points; stability; neutral differential equation; variable delays; ASYMPTOTIC STABILITY;
D O I：
10.1186/1687-1847-2011-48
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The linear neutral differential equation with variable delays is considered in this article. New criteria for asymptotic stability of the zero solution are established using the fixed point method and the differential inequality techniques. By employing an auxiliary function on the contraction condition, the results of this article extend and improve previously known results. The method used in this article can also be used for studying the decay rates of the solutions.
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页数：11
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