Fixed Points and Stability in Nonlinear Equations with Variable Delays

Fixexd point theory and applications

Xiang Li¹  Zhixiang Li²  Liming Ding² 

[1] Air Force Radar Academy, Wuhan, China;Department of Mathematics and System Science, College of Science, National University of Defence Technology, Changsha, China

关键词: Continuous Function;    Contraction Mapping;    Lipschitz Condition;    Delay Differential Equation;    Convergent Subsequence;   

DOI  :  10.1155/2010/195916

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We consider two nonlinear scalar delay differential equations with variable delays and give some new conditions for the boundedness and stability by means of the contraction mapping principle. We obtain the differences of the two equations about the stability of the zero solution. Previous results are improved and generalized. An example is given to illustrate our theory.

【 授权许可】

CC BY