Palestini, A.; Recchi, S. Qualitative Properties of the Solutions to the Lane–Emden Equation in the Cylindrical Setup. Mathematics2024, 12, 542.
Palestini, A.; Recchi, S. Qualitative Properties of the Solutions to the Lane–Emden Equation in the Cylindrical Setup. Mathematics 2024, 12, 542.
Palestini, A.; Recchi, S. Qualitative Properties of the Solutions to the Lane–Emden Equation in the Cylindrical Setup. Mathematics2024, 12, 542.
Palestini, A.; Recchi, S. Qualitative Properties of the Solutions to the Lane–Emden Equation in the Cylindrical Setup. Mathematics 2024, 12, 542.
Abstract
Some qualitative results are provided on the cylindrical version of the Lane-Emden equation. Although the explicit form of the solution is not exactly known, we establish some properties on the critical points of the solution in some specific cases and we propose a technique to evaluate the distance between a pair of solutions in small intervals.
Keywords
Lane-Emden equation; polytrope; ODEs
Subject
Physical Sciences, Astronomy and Astrophysics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
