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arXiv · 2410.01693

On the exactness of the Kiguradze-Kvinikadze blow-up condition for nonlinear ordinary differential equations

A. A. Kon'kov
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Abstract

We show the exactness of the Kiguradze--Kvinikadze blow-up condition for solutions of the Cauchy problem $$ w^{(m)} = f (t, w, \ldots, w^{(m - 1)}), \qquad w^{(i)} (0) = a_i \ge 0, \quad i = 0, \ldots, m - 1. $$

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A. A. Kon'kov. 2024-10-02. On the exactness of the Kiguradze-Kvinikadze blow-up condition for nonlinear ordinary differential equations. https://arxiv.org/abs/2410.01693

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