| 一类泛函微分方程反周期解的存在性 |
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| 引用本文： | 孙晋易,蒋玲芳,杨变霞. 一类泛函微分方程反周期解的存在性[J]. 纯粹数学与应用数学, 2011, 27(2): 280-284 |
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| 作者姓名： | 孙晋易 蒋玲芳 杨变霞 |
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| 作者单位： | 西北师范大学数学与信息科学学院; |
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| 摘 要： | 研究了一类含参泛函微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,并通过例子表明结果的可行性.主要工具为Leray-Schauder非线性抉择.
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| 关 键 词： | 泛函微分方程 反周期解 存在性 Leray-Schauder非线性抉择 |
Existence of anti-periodic solutions of functional differential equations |
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| SUN Jin-yi,JIANG Ling-fang,YANG Bian-xia. Existence of anti-periodic solutions of functional differential equations[J]. Pure and Applied Mathematics, 2011, 27(2): 280-284 |
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| Authors: | SUN Jin-yi JIANG Ling-fang YANG Bian-xia |
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| Affiliation: | SUN Jin-yi,JIANG Ling-fang,YANG Bian-xia(Department of Mathematics and Information Science,Northwest Normal University,Lanzhou 730070,China) |
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| Abstract: | This paper discusses the existence of anti-periodic solutions of functional differential equations with parameter.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.Two examples show the feasibility of the main results.The main tool is Leray-Schauder nonlinear alternative. |
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| Keywords: | functional differential equations anti-periodic solutions existence leray-Schauder nonlinear alternative |
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