| 一阶时滞差分方程反周期解的存在性 |
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| 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].四川理工学院学报(自然科学版),2012,25(5):84-86. |
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| 作者姓名： | 周永强 王家正 丁一鸣 |
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| 作者单位： | 合肥师范学院数学系,合肥,230061 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 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。
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| 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 |
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| ZHOU Yong-qiang,WANG Jia-zheng,DING Yi-ming.Existence of Anti-Periodic Solutions of First Neutral Delay Difference Dquations[J].Journal of Sichuan University of Science & Engineering:Natural Science Editton,2012,25(5):84-86. |
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| Authors: | ZHOU Yong-qiang WANG Jia-zheng DING Yi-ming |
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| Institution: | (Department of Mathematics,Hefei Normal University,Hefei 230601,China) |
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| Abstract: | Taking the Leray-schauder nonlinear alternative as a tool,the existence of anti-periodic solutions of first neutral delay difference equations with parameter is discussed.The existence of anti-periodic solutions is obtained when the parameter belongs to appropriate intervals.Therefore,the sufficient conditions for existence of anti-periodic solutions are obtained.The example shows the feasibility of the main results. |
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| Keywords: | delay difference equations anti-periodic solutions Leray-schauder nonlinear ahernative |
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