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具逐段常变量的中立型时滞微分方程的伪概周期解 被引量:3

Pseudo Almost Periodic Solutions of Neutral Delay Differential Equations with Piecewise Constant Arguments
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摘要 通过构造二阶差分方程的伪概周期序列解 ,研究了带逐段常变量的中立型时滞微分方程ddt(y(t) +py(t - 1) ) =a0 y([t]) +a1y([t- 1]) +F(t,y(t) ,y([t]) ) By constructing a pseudo almost periodic solution sequence for a relevant difference equation,we investigated the existence and uniqueness of pseudo almost periodic solution of neutral delay differential equation with piece\|wise constant arguments dd t(y(t)+py(t-1))=a\-0y(\)+a\-1y(\)+F(t,y(t),y(\)).
作者 朴大雄
机构地区 抚顺石油学院
出处 《北京大学学报(自然科学版)》 CAS CSCD 北大核心 2001年第3期297-304,共8页 Acta Scientiarum Naturalium Universitatis Pekinensis
基金 抚顺石油学院科学基金!资助项目
关键词 伪概周期序列 差分方程 逐段常变量 伪概周期率 中立型时滞微分方程 pseudo almost periodic sequence difference equation piecewise constant argument pseudo almost periodic solution neutral delay differential equation
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参考文献7

  • 1袁荣.具逐段常变量中立型时滞微分方程的概周期解[J].数学年刊(A辑),1998,19A(4):499-506. 被引量:11
  • 2Piao D,Chin Ann Math B,1999年,24卷,4期,489页
  • 3Yuan R,Sci China,1998年,41卷,3期,232页
  • 4袁荣,数学年刊.A,1998年,19卷,4期,499页
  • 5Yuan R,Analysis,1996年,16卷,1期,171页
  • 6Zhang C,J Math Anal Appl,1994年,181卷,1期,62页
  • 7Aftabizadeh A R,Proc Am Math Soc,1987年,99卷,3期,673页

共引文献10

同被引文献19

  • 1Rongkun Zhuang,Hongwu Wu.ON ALMOST PERIODIC SOLUTIONS TO THIRD-ORDER NEUTRAL DELAY-DIFFERENTIAL EQUATIONS WITH PIECEWISE CONSTANT ARGUMENT[J].Annals of Differential Equations,2013,29(1):114-120. 被引量:3
  • 2Wang Youbin,Yan Jurang.NECESSARY AND SUFFICIENT CONDITIONS FOR THE OSCILLATION OF A DELAY LOGISTIC EQUATION WITH CONTINUOUS AND PIECEWISE CONSTANT ARGUMENTS[J].Annals of Differential Equations,2005,21(3):435-438. 被引量:4
  • 3王幼斌,燕居让.具逐段常变量时滞微分方程的振动性[J].科学通报,1996,41(5):392-395. 被引量:2
  • 4COOKE K L , WIENER J. A Survey of Differential Equation with Pieeewise Continuous Argument [ C ]// Berlin : Springer Verlag, Lecture Notes in Mathematics, 1991,1475 : 1 - 15.
  • 5AFTABIZADEH A R,WIENER J. Oscillatory and Periodic Solutions for Systems of Two First Order Linear Differential Equations with Piecewise Constant Argument [ J ]. Applicable Analysis, 1988,26(2) :327 -338.
  • 6AFTABIZADEH A R,WIENER J, XU J M. Oscillatory and Periodic: Solutions of Delay Differential Equation with PiecewiseConstant Argument [ J ]. Proc Amer Math Soc, 1987,99 ( 3 ) : 673 - 679.
  • 7COOKE K L, WIENER J. Neutral Differential Equations with Piecewise Constant Argument [ J ]. Bollettlno U M I, 1987,7 (2) :321 -349.
  • 8Wang Youbin, Yan Jurang. Necessary and Sufficient Condi- tion for the Global Attractivity of the Trivial Solution of a Delay equation with Continuous and Piecewise Constant Ar- guments[J]. ApplMath. Lett, 1997, 10(5): 91-96.
  • 9Shen J H, Stavroulakis I P. Oscillatory and Nonoscillatory Delay equations with Piecewise Constant Argument [J]. Journal of Mathematical Analysis and Applications, 2000, 248: 385-401.
  • 10Alonso A I, Hong J L, Obay A R. Almost Periodic Type Solutions of Differential equations with Piecewise Constant Argument via Almost Periodic Type Sequences [J]. Appl Math Lett, 2000, 13: 131-137.

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