In this paper, we examine the properly twice epi-differentiability and compute the second order epi-subderivative of the indicator function to a class of sets including the finite union of parabolically derivable and parabolically regular sets. In this way, we provide no-gap second order optimality conditions for a disjunctive constrained problem. Moreover, we derive applications of our results to some types of disjunctive programs.

中文翻译：

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析取约束集的二阶变分分析及其在优化问题中的应用

在本文中，我们检查了两次适当的表位可微性，并计算了指标函数的二阶表位微分对一类集合，包括抛物型可导集和抛物型正则集的有限并集。通过这种方式，我们为析取约束问题提供了无间隙的二阶最优性条件。此外，我们将我们的结果应用于某些类型的析取程序。