One of the central results of the paper is the Pontryagin maximum principle [16] which is considered in sufficient form for the linear case of impulsive differential equations. The problem of controllability of boundary-value problems for quasilinear mpulsive system of integrodifferential equations is considered. The control consists of a piecewise continuous function part as well as impulses which act at a variable time. Key words and phrases: Impulse; Control; Linear programming; Integrodifferential Equation; Quasilinear System. 1991 Mathematics Subject Classification: 34A37; 34B10; 34H05; 49G15; 49K05
M. U. Akhmet, M. Kirane, M. A. Tleubergenova, Gerh