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一个具有分片连续型自变量的混合型微分方程的稳定性分析(英文) 被引量：2

Stability analysis of a mixed differential equation with piecewise continuous arguments
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摘要 对一个具有分段连续型自变量的混合型的微分方程u′(t)=au(t)+bu([t])+cut+21的稳定性进行了分析。给出了解析解的表达式,得到了零解渐进稳定的条件。 The authors deal with the stability analysis of a mixed differential equation u＇（t） = au （t） ＋bu（[t]）＋cu（[t＋1/2]） with piecewise continuous arguments. The expression of the analytic solution is given, and the conditions under which the zero solution is asymptotically stable are obtained.
作者 梁慧 刘明珠
机构地区 哈尔滨工业大学数学系
出处 《黑龙江大学自然科学学报》 CAS 北大核心 2008年第1期95-98,共4页 Journal of Natural Science of Heilongjiang University
基金 the Natural Science Foundation of China(10671047)
关键词 混合型的微分方程 分段连续型自变量 渐进稳定性 mixed differential equation piecewise continuous arguments asymptotic stability
分类号 O189.1 [理学—基础数学]
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参考文献8

  • 1Aftabizadeh A R, Wiener J. Oscillatory and periodic solutions of an equation alternately of retarded and advanced type [ J ]. Appl Anal, 1986, 23 : 219 -231.
  • 2Cooke K L, Wiener J. Retarded differential equations with piecewise constant delays[ J ]. J Math Anal Appl, 1984, 99: 265-297.
  • 3Liu M Z, Song M H, Yang Z W. Stability of Runge - Kutta methods in the numerical solution of equation u' (t) - au(t) + a0u( [ t ] ) [ J ]. J Comput Appl Math, 2004, 166:361 -370.
  • 4Lv W J, Yang Z W, Liu M Z, Stability of Runge - Kutta methods for the alternately advanced and retarded differential equations with piecewise continuous arguments [ J ]. Appl Math Comput (accepted).
  • 5Shah S M, Wiener J. Advanced dofferential equations with piecewise constant argument deviations [ J ]. Internal J Math Math Sci, 1983, 6:671 - 703.
  • 6Wiener J. Differential equations with piecewise constant delays [ C ].Lakshmikantham V. Trends in the Theory and Practice of Nonliear Differential Equations. New York : Marcel Dekker, 1983, 547 - 552.
  • 7Wiener J. Generalized solutions of differential equations[M]. Singapore:Scientific World, 1993.
  • 8Wiener J. Pointwise initial -value problems for functional differential equations [ C ].Knowles I W, Lewis R T. Differential equations. New York: North - Holland, 1984, 571 -580.

同被引文献19

  • 1程杞元,冯莉.二阶弱奇异Volterra积分微分方程的非多项式样条配置方法[J].北京理工大学学报,2006,26(2):177-180. 被引量：1
  • 2吕万金,刘明珠.方程u′(t)=au(t)+a_2u([t+2])的线性θ-方法数值稳定性[J].黑龙江大学自然科学学报,2006,23(5):700-702. 被引量：5
  • 3SHAH S M, WIENER J. Advanced differential equations with piecewise constant argument deviations [ J]. Int J Math Math Sci, 1983,6:671 - 703.
  • 4COOKE K L, WIENER J. Retarded differential equations with piecewise constant delays [ J]. J Math Anal Appl, 1984, 99:265 -297.
  • 5AKHMET M U. Almost periodic solutions of differential equations with piecewise constant argument of generalized type [ J ]. Nonlinear Anal : HS, 2008, 2:456-467.
  • 6WIENER J. Generalized solutions of functional differential equations [ M]. Singapore: World Scientific, 1993.
  • 7SONG M H, YANG Z W, LIU M Z. Stability of θ - methods for advanced differential equations with piecewise continuous arguments [ J]. Comput Math Appl, 2005,49 : 1295 - 1301.
  • 8LV W J, YANG Z W, LIU M Z. Stability of the Euler - Maclaurin methods for neutral differential equations with piecewise continuous arguments [ J]. Appl Math Comput, 2007, 186:1480 - 1487.
  • 9YANG Z W, LIU M Z, NIETO J J. Runge - Kutta methods for first - order periodic boundary value differential equations with piecewise constant arguments [J]. J Comput Appl Math, 2009, 233: 990- 1004.
  • 10LIU M Z, GAO J F, YANG Z W. Oscillation analysis of numerical solution in the θ - Methods for equation x' (t) + ax ( t ) + al x ( [ t - 1 ] ) = 0 [ J]. Appl Math Comput, 2007, 186: 566- 578.

引证文献2

二级引证文献4

黑龙江大学自然科学学报
2008年 第1期

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