English

Perturbed Lane-Emden equations as a boundary value problem with singular endpoints

Analysis of PDEs 2019-05-15 v1 Mathematical Physics Classical Analysis and ODEs Dynamical Systems math.MP

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.

Keywords

Cite

@article{arxiv.1810.01410,
  title  = {Perturbed Lane-Emden equations as a boundary value problem with singular endpoints},
  author = {Radosław Antoni Kycia},
  journal= {arXiv preprint arXiv:1810.01410},
  year   = {2019}
}

Comments

17 pages, 5 figures

R2 v1 2026-06-23T04:26:19.457Z