Dichotomies for linear impulsive differential equations with variable structure

Ordinary dichotomy and perturbations of the coefficient matrix of the linear impulsive differential equation

“…monotone and, as for (7), we obtain that for t s °N ow let x(t) = y(t~ + z(t) be an arbitrary solution of the differential equation (2). From the formula we express x(to) and in view of (6) we obtain that In view of (7) and (8) (7), (8), (9) and (10) (2) also has an ordinary dichotomy on the interval +00) and by lemma 1 it has an ordinary dichotomy on each interval ~ T ), r > to as well.…”

Periodic Solutions of a Model of Lotka-Volterra With Variable Structure and Impulses

“…Various aspects of the qualitative theory of impulsive differential equations with variable structure and impulses are discussed in [1], [2], [4], [7] and [8].…”