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ON THE STABILITY OF SOLUTIONS TO A CERTAIN FOURTH-ORDER VECTOR DELAY DIFFERENTIAL EQUATION

ON THE STABILITY OF SOLUTIONS TO A CERTAIN FOURTH-ORDER VECTOR DELAY DIFFERENTIAL EQUATION
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摘要 In this paper, by constructing a Lyapunov functional, sufficient conditions for the uniform stability of the zero solution to a fourth-order vector delay differential equation are given. In this paper, by constructing a Lyapunov functional, sufficient conditions for the uniform stability of the zero solution to a fourth-order vector delay differential equation are given.
作者 A.M.A. Abou-El-Ela A.I. Sadek A.M. Mahmoud
机构地区 Dept. of Math. Dept. of Science and Math.
出处 《Annals of Differential Equations》 2012年第1期1-10,共10页 微分方程年刊（英文版）
关键词 uniform stability Lyapunov functionals fourth-order vector delay differential equations uniform stability Lyapunov functionals fourth-order vector delay differential equations
分类号 O175 [理学—基础数学]
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参考文献14

  • 1Cemil Tunc.ON STABILITY OF SOLUTIONS OF CERTAIN FOURTH-ORDER DELAY DIFFERENTIAL EQUATIONS[J].Applied Mathematics and Mechanics(English Edition),2006,27(8):1141-1148. 被引量：5
  • 2A.M.A.Abou-El-Ela & A.I.Sadek(Faculty of Science, Assiut University, EGYPT).A STABILITY THEOREM FOR A CERTAIN FOURH-ORDER VECTOR DIFFERENTIAL FQUATION[J].Annals of Differential Equations,1994,10(2):125-134. 被引量：1
  • 3Cemil Tun?.On the stability of solutions to a certain fourth-order delay differential equation[J].Nonlinear Dynamics (-).2008(1-2)
  • 4Cemil Tun?,Muzaffer Ate?.Stability and Boundedness Results for Solutions of Certain Third Order Nonlinear Vector Differential Equations[J].Nonlinear Dynamics (-).2006(3-4)
  • 5A.M.A. Abou-El-Ela,A.I. Sadek.On asymptotic stability of a certain system of fifth-order differential equations[].Annals of Differential Equations.1992
  • 6A.M.A. Abou-El-Ela,A.I. Sadek,A M. Mahmoud.Stability and boundedness of solutions of certain third-order nonlinear delay differential equation[].International Journal on Automatic Control and Systems Engineering.2009
  • 7A.M.A. Abou-El-Ela,A.I. Sadek,A.M. Mahmoud.On the stability of solutions of certain fourth-order nonlinear non-autonomous delay differential equation[].International Journal of Applied Mathematics.2009
  • 8A.I. Sadek.Stability and boundedness of a kind of third-order delay differential system[].Applied Mathematics Letters.2003
  • 9A.I. Sadek.On the stability of solutions of certian fourth-order delay differential equations[].Applied Mathematics and Computation.2004
  • 10C. Tun c.Stability and boundedness of solutions of nonlinear differential equations of third-order with delay[].Differntial Equations and Control Processes.2007

二级参考文献2

  • 1T. A. Burton,Shunian Zhang.Unified boundedness, periodicity, and stability in ordinary and functional differential equations[J].Annali di Matematica Pura ed Applicata.1986(1)
  • 2E. N. Chukwu.On the boundedness and stability properties of solutions of some differential equations of the fifth order[J].Annali di Matematica Pura ed Applicata Series.1975(1)

共引文献4

Annals of Differential Equations
2012年 第1期

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