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.
引用
收藏
页码：333 / 347
页数：15
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