Perturbed Lane-Emden Equations as a Boundary Value Problem with Singular Endpoints

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Authors	KYCIA Radoslaw Antoni
Year of publication	2020
Type	Article in Periodical
Magazine / Source	Journal of Dynamical and Control Systems
MU Faculty or unit	Faculty of Science
Citation
web	https://link.springer.com/article/10.1007/s10883-019-09445-6
Doi	https://doi.org/10.1007/s10883-019-09445-6
Keywords	Generalized Lane-Emden equations; Analytic solutions; Singularities
Description	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.
Related projects:	Matematické struktury 6 Klasifikační problémy pro reálné nadplochy v komplexním prostoru Matematické struktury 7