The paper presents the solution for the existence of analytic solutions for some generalized Lane–Emden (LE) equation. Such a solution exists on the unit interval, in which endpoints are singularities of the proposed perturbed LE equation. The solution has many possible applications and one of the examples was provided.

中文翻译：

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具有奇异端点的边值问题作为扰动的Lane-Emden方程

本文提出了一些广义Lane-Emden（LE）方程的解析解的存在性解。这样的解决方案存在于单位间隔上，其中端点是所提出的扰动LE方程的奇异点。该解决方案具有许多可能的应用，并提供了示例之一。