| NECESSARV AND SUFFICIENT CONDITIONS FOR THE EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS OF LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS |
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| 引用本文： | 徐玉民,邓其飞,刘永清,冯昭枢. NECESSARV AND SUFFICIENT CONDITIONS FOR THE EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS OF LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS[J]. Annals of Differential Equations, 1999, 0(1) |
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| 作者姓名： | 徐玉民 邓其飞 刘永清 冯昭枢 |
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| 摘 要： | ![]()
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NECESSARV AND SUFFICIENT CONDITIONS FOR THE EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS OF LINEAR FUNCTIONAL DIFFERENTIAL EQUatIONS WITH CONSTANT COEFFICIENTS |
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| Xu Yumin. NECESSARV AND SUFFICIENT CONDITIONS FOR THE EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS OF LINEAR FUNCTIONAL DIFFERENTIAL EQUatIONS WITH CONSTANT COEFFICIENTS[J]. 微分方程年刊(英文版), 1999, 0(1) |
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| Authors: | Xu Yumin |
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| Abstract: | ![]()
In this paper, the existence and uniqueness of periodic solutions of linearfunctional differential equat,ions, including neutral equations, with constant coef-ficients are investigated, necessary and sufficient conditions for the existence anduniqueness of periodic solutions of linear neutral functional differential equationsand some of their special oases are given via systems of linear algebraic equations. Especially, the problems of existonce and Uniqueness of periodic solutions ofgeneral linear functional differential equations of non-neutral type are completelysolved. |
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| Keywords: | lineal. functional differential equation periodic solution necessary and sufficicnt condition Fourier seriesAMS Subject Classification 34C 34K |
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