Asymptotic Behavior of Singular Solutions of Emden-Fowler Type Equations

被引：4

作者：

Astashova, I. V. ^{[1
,2
]}

机构：

[1] Lomonosov Moscow State Univ, Moscow 119991, Russia

[2] Plekhanov Russian Univ Econ, Moscow 117997, Russia

来源：

DIFFERENTIAL EQUATIONS | 2019年 / 55卷 / 05期

关键词：

4TH-ORDER DIFFERENTIAL-EQUATIONS; CLASSIFICATION;

D O I：

10.1134/S001226611905001X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the behavior of singular solutions of the Emden-Fowler type equation y((n)) = p(x, y, y',..., y((n-1))|y|(k) sgn y, n > 2, with a regular (k > 1) or singular (0 < k < 1) nonlinearity. A singular solution is a solution that has a vertical (possibly, resonance) asymptote (for k > 1) or a solution that vanishes together with derivatives of order < n at some point or has a point of accumulation of zeros (for 0 < k < 1).

引用

页码：581 / 590

页数：10

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