| NECESSARY AND SUFFICIENT CONDITIONS FOR EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS OF NEUTRAL LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS：A METHOD BY FOURIER SERIESES |
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| 引用本文： | 邓飞其,赵玉鹏.NECESSARY AND SUFFICIENT CONDITIONS FOR EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS OF NEUTRAL LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS：A METHOD BY FOURIER SERIESES[J].Annals of Differential Equations,1995(2). |
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| 作者姓名： | 邓飞其 赵玉鹏 |
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| 作者单位： | 东北重型机械学院 |
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| 摘 要： | ＮＥＣＥＳＳＡＲＹＡＮＤＳＵＦＦＩＣＩＥＮＴＣＯＮＤＩＴＩＯＮＳＦＯＲＥＸＩＳＴＥＮＣＥＡＮＤＵＮＩＱＵＥＮＥＳＳＯＦＰＥＲＩＯＤＩＣＳＯＬＵＴＩＯＮＳＯＦＮＥＵＴＲＡＬＬＩＮＥＡＲＦＵＮＣＴＩＯＮＡＬＤＩＦＦＥＲＥＮＴＩＡＬＥＱＵＡＴＩＯＮＳＷＩＴ...
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NECESSARY AND SUFFICIENT CONDITIONS FOR EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS OF NEUTRAL LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS: A METHOD BY FOURIER SERIESES |
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| Deng Feiqi , Zhao Yupeng.NECESSARY AND SUFFICIENT CONDITIONS FOR EXISTENCE AND UNIQUENESS OF PERIODIC SOLUTIONS OF NEUTRAL LINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENTS: A METHOD BY FOURIER SERIESES[J].微分方程年刊(英文版),1995(2). |
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| Authors: | Deng Feiqi Zhao Yupeng |
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| Institution: | Northeast institute of Heavy Machinery |
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| Abstract: | In this paper, we investigate periodic solutions of neutral linear functional differential equations of arbitrary order with constant coefficients by Fourier serieses. We obtain the necessary and sufficient conditions for the existence and uniqueness of periodic solutions by finite systems of linear algebraic equations except for one special case. For the special case, we also give some applicable results. |
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| Keywords: | Neutral equation Periodic solution Existence Uniqueness |
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