Функционалы чувствительности в задаче Больца для многомерных динамических систем, описываемых интегро-дифференциальными уравнениями с запаздывающим аргументом

The variational method of calculation of sensitivity functionals (connecting first variation of quality functionals with variations of variable parameters) and sensitivity coefficients (components of vector gradient from the quality functional to constant parameters) for multivariate non-linear dynamic systems described by continuous vectorial Volterra’s integro-differential equations of the second-kind with delay time is developed. The base of calculation is the decision of corresponding integro-differential conjugate equations for Lagrange’s multipliers in the opposite direction of time. The presence of a discontinuity in an initial value of coordinates and dependence the initial and final instants and magnitude of delay time from parameters are taken into account also