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PERIODICITY IN FUNCTIONAL DIFFERENTIAL EQUATIONS 被引量:2

PERIODICITY IN FUNCTIONAL DIFFERENTIAL EQUATIONS
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摘要 A criterion for the existence of T-periodic solutions of functional differential equations with finite delay is established, in which the uniform boundedness of solutions has been removed from the conditions. The obtained result is the counterpart of the one recently obtained for infinite delay equations, but the conditions in this work are simplified and much easier to verify. Also, the proof has been improved to be more clear and compact. A criterion for the existence of T-periodic solutions of functional differential equations with finite delay is established, in which the uniform boundedness of solutions has been removed from the conditions. The obtained result is the counterpart of the one recently obtained for infinite delay equations, but the conditions in this work are simplified and much easier to verify. Also, the proof has been improved to be more clear and compact.
作者 张书年
机构地区 上海交通大学
出处 《Annals of Differential Equations》 1996年第2期252-257,共6页 微分方程年刊(英文版)
关键词 Functional differential equations with finite delay periodic solutions uniform ultimate boundedness uniform boundedness. Functional differential equations with finite delay, periodic solutions, uniform ultimate boundedness, uniform boundedness.
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