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

被引：6
|
作者：
Kycia, Radoslaw Antoni [1 ,2 ]
机构：
[1] Masaryk Univ, Dept Math & Stat, Kotlarska 267-2, CS-61137 Brno, Czech Republic
[2] Cracow Univ Technol, Fac Phys Math & Comp Sci, Warszawska 24, PL-31155 Krakow, Poland
来源：
JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2020年 / 26卷 / 02期
关键词：
Generalized Lane-Emden equations; Analytic solutions; Singularities; SEMILINEAR WAVE-EQUATIONS; SELF-SIMILAR SOLUTIONS; FOWLER;
D O I：
10.1007/s10883-019-09445-6
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
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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页码：333 / 347
页数：15
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