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Consider the impulsive differential systems with variable moments {x′=f(t,x),t≠τk(x),x(t0+)=x0,t0≥0,Δx=Ik(x),t=τk(x), Some sufficient conditions that guarantee the absence or presence of pulse phenomena are obtained. Our results in this paper generalize and improve several known results.
This paper deals with the stability of a class of impulsive infinite delay differential equations. By using the Razumikhin technique and Lyapunov functions, we obtain a new criterion on the uniform asymptotic stability and global stability for such differential equations. The result is less restrictive and conservative than that given in some earlier references. Also, our result shows that impulses...
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