A New Almost Periodic Type Solution of First Order Neutral Delay Differential Equations with Piecewise Constant Argument 被引量：2

A New Almost Periodic Type Solution of First Order Neutral Delay Differential Equations with Piecewise Constant Argument

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摘要 In this paper,we introduce a new class of ergodic sequences,pseudo almost periodic sequences,and study the existence of pseudo almost periodic sequences to difference equations.On the basis of these,we investigate the existence of pseudo almost periodic solutions for neutral delay differential equations with piecewise constant argument, d/(dt)(y(t)+py(t-1))=qy(2[(t+1)/2])+g(t,y(t),([t])). In this paper,we introduce a new class of ergodic sequences,pseudo almost periodic sequences,and study the existence of pseudo almost periodic sequences to difference equations.On the basis of these,we investigate the existence of pseudo almost periodic solutions for neutral delay differential equations with piecewise constant argument, d/(dt)(y(t)+py(t-1))=qy(2[(t+1)/2])+g(t,y(t),([t])).

作者 Rong YUAN Department of Mathematics,Beijing Normal University,Beijing 100875,P.R.China E-mail:ryuan@bnu.edu.cn

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 2001年第3期403-412,共10页 数学学报（英文版）

关键词 Pseudo almost periodic solutions Pseudo almost periodic sequences Neutral delay equation Piecewise constant argument Pseudo almost periodic solutions Pseudo almost periodic sequences Neutral delay equation Piecewise constant argument

分类号 O175 [理学—基础数学]

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1袁荣,洪佳林.Existence of almost periodic solutions of neutral differential equations with piecewise constant argument[J].Science China Mathematics,1996,39(11):1164-1177. 被引量：18
2袁荣.Existence of almost periodic solutions of second order neutral delay differential equations with piecewise constant argument[J].Science China Mathematics,1998,41(3):232-241. 被引量：9

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