ASYMPTOTIC CONSTANCY FOR IMPULSIVE DELAY DIFFERENTIAL EQUATIONS

Abstract

Sucien t conditions for the asymptotic constancy of the solutions of impulsive delay dieren tial system ( x 0 (t) = A(t) (x(t ) x(t )) + f(t); t t0; t 6 ti; x(ti) = Bix(ti) + Di; i = 1; 2; : : : ; are obtained. Moreover, as t ! 1, the limits of the solutions of the impulsive delay dieren tial system with Bi = 0 are computed in terms of the initial function and a special matrix solution of the corresponding adjoint system. AMS (MOS) Subject Classication. 34K06, 34K45