Abstract :
In this paper, the stability for the scalar impulsive delay differential equation
View the MathML sourcey′(t)+a(t)y(t)+F(t,y(·))=0,t⩾0,t≠τk,y(τk+)-y(τk)=Ik(y(τk)),k=1,2,…,limk→∞τk=∞,
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where delay arguments may be bounded or unbounded is investigated. Some new stability theorems are established which improve and extend several known results in the literature.
Keywords :
Impulse effect , Stability , Nonlinear , delay differential equation