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一阶时滞差分方程反周期解的存在性
引用本文:周永强,王家正,丁一鸣.一阶时滞差分方程反周期解的存在性[J].四川轻化工学院学报,2012(5):84-86.
作者姓名:周永强  王家正  丁一鸣
作者单位:合肥师范学院数学系,合肥230061
基金项目:国家自然科学基金资助项目(60736029)
摘    要:以Leray—schauder非线性抉择为工具,研究了一阶含参时滞差分方程反周期解的存在性,获得了当参数在一定范围取值时反周期解的存在性结果,得到了反周期解存在的充分条件,并通过实例表明结果的可行性。

关 键 词:时滞差分方程  反周期解  Leray—schauder非线性抉择

Existence of Anti-Periodic Solutions of First Neutral Delay Difference Dquations
ZHOU Yong-qiang,WANG Jia-zheng,DING Yi-ming.Existence of Anti-Periodic Solutions of First Neutral Delay Difference Dquations[J].Journal of Sichuan Institute of Light Industry and Chemical Technology,2012(5):84-86.
Authors:ZHOU Yong-qiang  WANG Jia-zheng  DING Yi-ming
Affiliation:(Department of Mathematics, Hefei Normal University, Hefei 230601, China)
Abstract:Taking the Leray-schauder nonlinear alternative as a tool, the existence of anti-periodic solutions of first neu- tral delay difference equations with parameter is discussed. The existence of anti-periodic solutions is obtained when the pa- rameter belongs to appropriate intervals. Therefore, the sufficient conditions for existence of anti-periodic solutions are ob- tained. The example shows the feasibility of the main results.
Keywords:delay difference equations  anti-periodic solutions  Leray-schauder nonlinear ahernative
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