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Zbl 1159.34052
Bereketoǧlu, Hüseyin; Karakoç, Fatma
Asymptotic constancy for impulsive delay differential equations. (English)
[J] Dyn. Syst. Appl. 17, No. 1, 71-83 (2008). ISSN 1056-2176

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

MSC 2000:: *34K45 Equations with impulses
34K06 Linear functional-differential equations

Keywords: asymptotic constancy; impulsive delay differential equations

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