We study the blowup problem for nonautonomous systems of ordinary differential equations. Sufficient optimality conditions for the controlled blowup time are derived, in terms of a dual dynamic programming methodology. We define an ε‐optimal value function and we construct sufficient ε‐optimality conditions for that function again in terms of a dual dynamic programming inequality.

中文翻译：

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具有爆破性质的常微分方程控制问题的最优条件。

我们研究了非自治常微分方程组的爆破问题。根据双重动态规划方法，得出了可控爆破时间的充分最优条件。我们定义一个ε最优值函数，并根据对偶动态规划不等式再次为该函数构造足够的ε最优条件。