On Asymptotic Classification of Solutions to Fourth-Order Differential Equations with Singular Power Nonlinearity

On Asymptotic Classification of Solutions to Fourth-Order Differential Equations with Singular Power Nonlinearity

The asymptotic behavior of all solutions to the fourth-order Emden– Fowler type differential equation with singular nonlinearity is investigated. The equation is transformed into a system on the three-dimensional sphere. By investigation of the asymptotic behavior of all possible trajectories of th...

Full description

Bibliographic Details
Main Author: Irina Astashova
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2016-06-01
Series:Mathematical Modelling and Analysis
Subjects:
singular nonlinear equations
asymptotic classification
oscillation
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/831
id doaj-001bd3ceb8cc4d19af8b6617b2222e3b
record_format Article
spelling doaj-001bd3ceb8cc4d19af8b6617b2222e3b2021-07-02T07:56:45ZengVilnius Gediminas Technical UniversityMathematical Modelling and Analysis1392-62921648-35102016-06-0121410.3846/13926292.2016.1185043On Asymptotic Classification of Solutions to Fourth-Order Differential Equations with Singular Power NonlinearityIrina Astashova0Lomonosov Moscow State University, F aculty of Mechanics and M athematics Leninskie Gory, 1, Moscow, RU 119991 Plekhanov Russian University of Economics (P RUE), F aculty of M athematical Economics, Statistics and Informatics (MESI) Stremyanny lane, 36 Moscow, RU 117997 The asymptotic behavior of all solutions to the fourth-order Emden– Fowler type differential equation with singular nonlinearity is investigated. The equation is transformed into a system on the three-dimensional sphere. By investigation of the asymptotic behavior of all possible trajectories of this system an asymptotic classification of all solutions to the equation is obtained. https://journals.vgtu.lt/index.php/MMA/article/view/831singular nonlinear equationsasymptotic classificationoscillation
collection DOAJ
language English
format Article
sources DOAJ
author Irina Astashova
spellingShingle Irina Astashova
On Asymptotic Classification of Solutions to Fourth-Order Differential Equations with Singular Power Nonlinearity
Mathematical Modelling and Analysis
singular nonlinear equations
asymptotic classification
oscillation
author_facet Irina Astashova
author_sort Irina Astashova
title On Asymptotic Classification of Solutions to Fourth-Order Differential Equations with Singular Power Nonlinearity
title_short On Asymptotic Classification of Solutions to Fourth-Order Differential Equations with Singular Power Nonlinearity
title_full On Asymptotic Classification of Solutions to Fourth-Order Differential Equations with Singular Power Nonlinearity
title_fullStr On Asymptotic Classification of Solutions to Fourth-Order Differential Equations with Singular Power Nonlinearity
title_full_unstemmed On Asymptotic Classification of Solutions to Fourth-Order Differential Equations with Singular Power Nonlinearity
title_sort on asymptotic classification of solutions to fourth-order differential equations with singular power nonlinearity
publisher Vilnius Gediminas Technical University
series Mathematical Modelling and Analysis
issn 1392-6292
1648-3510
publishDate 2016-06-01
description The asymptotic behavior of all solutions to the fourth-order Emden– Fowler type differential equation with singular nonlinearity is investigated. The equation is transformed into a system on the three-dimensional sphere. By investigation of the asymptotic behavior of all possible trajectories of this system an asymptotic classification of all solutions to the equation is obtained.
topic singular nonlinear equations
asymptotic classification
oscillation
url https://journals.vgtu.lt/index.php/MMA/article/view/831
work_keys_str_mv AT irinaastashova onasymptoticclassificationofsolutionstofourthorderdifferentialequationswithsingularpowernonlinearity
_version_ 1721335300315152384

Similar Items