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 http://dx.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.
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