Asymptotic Behavior of Singular Solutions of Emden-Fowler Type Equations

被引：0

作者：

I. V. Astashova

机构：

[1] Lomonosov Moscow State University,

[2] Plekhanov Russian University of Economics,undefined

来源：

Differential Equations | 2019年 / 55卷

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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：9

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