| 一类常系数线性泛函微分方程周期解的存在性和唯一性 |
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| 引用本文： | 沈永敬. 一类常系数线性泛函微分方程周期解的存在性和唯一性[J]. 徐州师范大学学报(自然科学版), 1994, 0(4) |
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| 作者姓名： | 沈永敬 |
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| 作者单位： | 邳州市委党校办公室 |
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| 摘 要： | 用傅里叶级数方法研究一类常系数线性泛函微分方程周期解的存在性、唯一性问题，给出判断周期解存在、唯一的充要条件，并给出周期解的具体表达式。
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| 关 键 词： | 傅里叶级数，周期解 |
THE EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS OF A CLASS OF CONSTANT COEFFICIENTS LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS |
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| Shen Yongjing. THE EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS OF A CLASS OF CONSTANT COEFFICIENTS LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS[J]. Journal of Xuzhou Normal University(Natural Science Edition), 1994, 0(4) |
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| Authors: | Shen Yongjing |
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| Affiliation: | Shen Yongjing |
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| Abstract: | In this paper,by using Fourier series,the problem of the existence and uniquenss of periodic solutions of a class of functional differential equation is studied. Some necessary and sufficient conditions for the existence and uniqueness periodic solutions of the class of functional differential equation are obtained, and at the same time, a formula of periodic solutions is presented. |
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| Keywords: | Fourier series Periodic solution |
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