Abstract

A family of singular differential equations with variable coefficients and parameter \(k\in\mathbb{R}\) is introduced into the consideration. The properties inherent in all differential equations of this family are investigated and theorems on the solvability of a number of initial problems for the considered family are formulated.

中文翻译：

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一类奇异微分方程

摘要

考虑了一系列具有可变系数和参数\（k \ in \ mathbb {R} \）的奇异微分方程。研究了该族所有微分方程的内在性质，并针对所考虑的族建立了许多初始问题的可解性定理。