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Boundedness of Nonlinear Differential Systems with Impulsive Effect on Random Moments 被引量：8

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摘要 The model of nonlinear differential systems with impulsive effect on random moments is brought forward in this paper. Then, sufficient conditions for (uniform, uniform and ultimate, and uniform and uniformly ultimate) p?moment boundedness of the systems are presented. Finally, an example is discussed to show applications of two obtained results. The model of nonlinear differential systems with impulsive effect on random moments is brought forward in this paper. Then, sufficient conditions for (uniform, uniform and ultimate, and uniform and uniformly ultimate) p?moment boundedness of the systems are presented. Finally, an example is discussed to show applications of two obtained results.
作者 Shu-jin Wu Xian-zhang Meng
机构地区 Department of Statistics Department of Mathenlatics
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2004年第1期147-154,共8页 应用数学学报（英文版）
基金 Partially supported by the NNSF of China(No.19831030,No.10371074)
分类号 O141.4 [理学—基础数学]
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参考文献11

  • 1Akhmetov, M.U., Zafer, A. Stability of the zero solution of impulsive differential equations by the Liapunov second method. Journal of hlathematical Analysis and Aplications, 248:6-82 (2000).
  • 2Akhmetov, M.U., Zafer, A. Successive approximation method for quasilinear impulsive differential equations with control. Applied Mathematics Letters. 13:99-105 (2000).
  • 3Bainov, D.D., Simeonov. P.S. Differentiability of solutions of systems with impulsive effect with respect to initial data and parameter. Bull. Inst. Math. Acad. Sci.. 15:251-269 (1987).
  • 4Bainov, D.D., Simeonov. P.S. Systems with impulsive effect. In: Stability Theory and Applications,Chichester, UK: Ellis Hotwood. 1989.
  • 5Cooke, C.H., Kroll, J. The existence of periodic solutions to certain impulsive differential equations. Computers and Mathematics with Applications, 44:667-676 (2002).
  • 6Covachev, V., Akca, H., Yenicerioglu, F. Difference approximations for impulsive differential equations.Applied Mathematics and Computation, 121:383-390 (2001).
  • 7Kou, C.H., Zhang, S.N., Wu, S.J. Stability analysis in terms of two measures for impulsive differential equations, d. London Math. Soc., 66:142-152 (2002).
  • 8Lakshmikantham, V., Baixlov, D.D., Simeoxlov, P.S. Theory of Impulsive Differntial Equations. World Scientific, Singapore, 1989.
  • 9Pinto, M. Asymptotic behavior of differential systems with impulse effect, Nonlinear Analysis, 30: 1133-1140 (1997).
  • 10Soliman, A,A. On stability of perturbed impulsive differential systems. Applied Mathematics and Computation, 133:105-117 (2002).

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Acta Mathematicae Applicatae Sinica
2004年 第1期

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