On Kiguradze’s problem on power-law asymptotic behavior of blow-up solutions to Emden–Fowler type differential equations-Reference-Cited by-同舟云学术

On Kiguradze’s problem on power-law asymptotic behavior of blow-up solutions to Emden–Fowler type differential equations

Published:2017-06-01 Issue:2 Volume:24 Page:185-191
ISSN:1572-9176
Container-title:Georgian Mathematical Journal
language:
Short-container-title:

Author:

Astashova Irina V.¹

Affiliation:

1. Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, GSP-1, Leninskie Gory, Moscow119991; and Faculty of Mathematical Economics, Statistics and Informatics, Plekhanov Russian University of Economics, Stremyanny lane 36, Moscow 117997, Russia

Abstract

AbstractFor higher-order Emden–Fowler type equations with regular nonlinearity, the asymptotic behavior of their blow-up solutions is investigated. It is proved that for weakly superlinear differential equations, all such solutions have power-law asymptotic behavior.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/downloadpdf/journals/gmj/24/2/article-p185.xml

Reference20 articles.

1. On some asymptotic properties to solutions for the Emden–Fowler type equations;Differ. Uravn.,1981

2. On Kneser solutions of higher order nonlinear ordinary differential equations;Ark. Mat.,1999

3. On Kneser solutions of higher order nonlinear ordinary differential equations;Ark. Mat.,1999

4. Qualitative properties of solutions to quasilinear ordinary differential equations;Qualitative Properties of Solutions to Differential Equations and Related Topics of Spectral Analysis: Scientific Edition,2012

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Atypicality of power-law solutions to Emden–Fowler type higher order equations;St. Petersburg Mathematical Journal;2020-02-04

2. On the Behavior of Solutions with Positive Initial Data to Higher-Order Differential Equations with General Power-Law Nonlinearity;Differential and Difference Equations with Applications;2020

3. On Nonpower-Law Asymptotic Behavior of Blow-Up Solutions to Emden-Fowler Type Higher-Order Differential Equations;Differential and Difference Equations with Applications;2020

4. Asymptotic Behavior of Unbounded Solutions of Second-Order Differential Equations with General Nonlinearities;Journal of Mathematical Sciences;2019-11-27

5. Asymptotic Behavior of Singular Solutions of Emden-Fowler Type Equations;Differential Equations;2019-05