Abstract A two-person zero-sum positional differential game is considered in which the motion of a dynamical system is described by a nonlinear delay equation and the initial motion history is determined by a piecewise continuous function. Inequalities for directional derivatives of the value functional and inequalities for its sub- and supergradients are obtained.

中文翻译：

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时滞系统微分博弈中值泛函的次梯度的不等式

摘要 考虑一个二人零和位置微分博弈，其中动力系统的运动由非线性延迟方程描述，初始运动历史由分段连续函数确定。获得了值泛函的方向导数的不等式和其次梯度和超梯度的不等式。