Perturbed Lane-Emden equations as a boundary value problem with singular endpoints
Rados{\l}aw Antoni Kycia
TL;DR
This paper investigates the existence of analytic solutions to a class of generalized Lane-Emden equations with singular endpoints, providing theoretical insights and an example application.
Contribution
It introduces a new approach to solving perturbed Lane-Emden equations with singular endpoints and demonstrates the existence of analytic solutions on the unit interval.
Findings
Analytic solutions exist for certain generalized Lane-Emden equations.
Solutions are applicable on the unit interval with singular endpoints.
An example application illustrates the practical relevance.
Abstract
The paper presents the solution for the existence of analytic solutions for some generalized Lane-Emden (LE) equation. Such solutions exists on the unit interval, which endpoints are singularities of the proposed perturbed LE equation. The solution has many possible applications and one of the examples was provided.
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