随机脉冲泛函微分方程的{\boldmath p}阶矩有界性

Abstract

Abstract:

Random impulsive functional differential equation is a mathematical model with extensive applications. By means of Liapunov's direct
method coupled with Razumikhin technique and comparison principle, some sufficient conditions for uniformly (uniformly and ultimately,
uniformly and uniformly ultimately) p-moment boundedness of such systems are presented, where dV(t, x(t))/dt is imposed only on a little restriction even to obtain uniform boundedness and uniformly ultimate boundedness. Thus the obtained results are very convenient to apply.

Key words: Functional differential equation, Random impulses, Uniform boundedness, Ultimate boundedness, Liapunov function, Razumikhin condition

CLC Number:

34K20

WU Shu-Jin, SONG Qiong, GUO Xiao-Lin. p-Moment Boundedness of Functional Differential Equations with Random Impulses[J].Acta mathematica scientia,Series A, 2010, 30(1): 126-141.

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p-Moment Boundedness of Functional Differential Equations with Random Impulses

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