论文标题

关于二阶奇异微分方程的解决方案

On solutions of singular differential equations of the second order

论文作者

Remizov, A. O.

论文摘要

我们研究了二阶的普通微分方程的溶液的行为,并以奇异点为单位,其中二阶导数的系数消失了。特别是,我们考虑进入一个没有明确切向方向的奇异点的解决方案。非常关注二阶方程,其右侧是一阶导数的立方多项式。

We study the behaviour of solutions of ordinary differential equations of the second order with singular points, where the coefficients of the second-order derivative vanishes. In particular, we consider solutions entering a singular point without definite tangential direction. Great attention is paid to second-order equations, whose right-hand sides is a cubic polynomial by the first-order derivative.

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