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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

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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摘要 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. 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.
出处 《Annals of Differential Equations》 1995年第2期166-171,共6页 微分方程年刊(英文版)
关键词 Neutral equation Periodic solution EXISTENCE Uniqueness. Neutral equation Periodic solution Existence Uniqueness.
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