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PSEUDO ALMOST PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS WITHPIECEWISE CONSTANT ARGUMENT
作者姓名:PIAO Daxiong  YUAN Rong
作者单位:PIAO DAXIONG; YUAN RONG(School of Mathematical Sciences,Peking University,Beijing 100871,China)E-Mail: dxpiao@sxx0.math.pku.edu.cn(Department of Mathematics,Beijing Normal University Beijing 100875,China)
摘    要:51.IntroductionDifferentialequationswithpiecewiseconstantarguments(DEPCA)candescribehybriddynandcalsystemsandthereforecombinepropertiesofbothdtherentialequationsanddifferenceeqllations.Theyhaveapplicationsincertainbiomedicalmodels1].In2,3]andthereferencesthereintherehavebeenalotofresultsconcerningDEPCA.Nevertheless,allofthemdealtwiththestabilityperiodicity,andoscillationetc-ofsolutionsofDEPCA.Re-cently,4]disscusedtheetistenceofalInostperiodicsolutionsofDEPCA.Inthispaper,wedefineps…

关 键 词:伪周期函数  伪周期序列  分段常数  辐角  遍历扰动
收稿时间:7/2/1997 12:00:00 AM
修稿时间:1999/4/16 0:00:00

PSEUDO ALMOST PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT
PIAO Daxiong,YUAN Rong.PSEUDO ALMOST PERIODIC SOLUTIONS OF DIFFERENTIAL EQUATIONS WITHPIECEWISE CONSTANT ARGUMENT[J].Chinese Annals of Mathematics,Series B,1999,20(4):489-494.
Authors:PIAO Daxiong and YUAN Rong
Institution:[1]SchoolofMathematicalSciences,PekingUniversity,Beijing100871,China. [2]DpaRmentofMathematics,BeijingNormniUniversity,BejLug100875,China
Abstract:The authors discuss the existence of pseudo almost periodic solutions of differential equations with piecewise constant argument by means of introducing new concept, pseudo almost periodic sequence.
Keywords:Pseudo almost periodic functions  Pseudo almost periodic sequences  Piecewise constant arguments  Ergodic perturbation
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