POWER GEOMETRY OF A NON-LINEAR DIFFERENTIAL EQUATION

被引：0
|
作者：
Samovol, V. S. [1 ]
机构：
[1] Natl Res Univ, Higher Sch Econ, 20 Myasnitskaya Ul, Moscow, Russia
来源：
MOSCOW MATHEMATICAL JOURNAL | 2018年 / 18卷 / 02期
关键词：
Power geometry; Emden-Fowler-type equation; continuable solution; non-oscillating solution; asymptotics; truncated equation; FOWLER-TYPE EQUATIONS;
D O I：
10.17323/1609-4514-2018-18-2-387-402
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article the solutions of Emden-Fowler-type equations of any order are studied using methods of power geometry. It is shown that these methods can be successfully applied in the study of asymptotic behaviour of the solutions. Also, we find conditions for the existence (nonexistence) of solutions of new types having non-power (power-logarithmic) asymptotics. Some numerical characteristics of such solutions are given.
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页码：387 / 402
页数：16
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