For the perturbed controlled nonlinear delay differential equation with the discontinuous initial condition, a formula of the analytic representation of solution is proved in the left neighborhood of the endpoint of the main interval. In the formula, the effects of perturbations of the delay parameter, the initial vector, the initial and control functions are detected.

中文翻译：

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时滞和间断初始条件的摄动控制微分方程解的局部表示公式

对于具有不连续初始条件的摄动受控非线性时滞微分方程，在主区间端点的左邻域中证明了解的解析表示公式。在公式中，检测了延迟参数，初始向量，初始函数和控制函数的摄动影响。