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Asymptotic constancy for impulsive delay differential equations. (English) Zbl 1159.34052

Sufficient conditions for asymptotic constancy and estimations of the limits of solutions are obtained for the following impulsive system
\[ \begin{aligned} \dot{x}(t)&= A(t)[x(t-\sigma)-x(t-\tau)]+f(t),\quad t\geq t_0,\;t\not= t_i,\\ \Delta x(t_i)&= B_ix(t_i)+D_i, \quad i=1,2,\dots. \end{aligned} \]

MSC:

34K45 Functional-differential equations with impulses
34K06 Linear functional-differential equations
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