INVESTIGATION OF SOLUTIONS OF THE NONLINEAR DIFFERENTIAL EQUATION OF THE THIRD ORDER

In work is considered simulation third-order equation with a power nonlinearity of the unknown function and its first and second derivatives are determined criteria for the existence of real solutions, the criterion of the existence of model solutions, the algorithm studies the asymptotic behavior o...

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Main Authors: Alexander Borisovich Cheboksarov, Victor Aleksandrovich Cheboksarov, Nelly Petrovna Charish
Format: Article
Language:Russian
Published: North-Caucasus Federal University 2022-10-01
Series:Современная наука и инновации
Subjects:
Online Access:https://msi.elpub.ru/jour/article/view/858
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author Alexander Borisovich Cheboksarov
Victor Aleksandrovich Cheboksarov
Nelly Petrovna Charish
author_facet Alexander Borisovich Cheboksarov
Victor Aleksandrovich Cheboksarov
Nelly Petrovna Charish
author_sort Alexander Borisovich Cheboksarov
collection DOAJ
description In work is considered simulation third-order equation with a power nonlinearity of the unknown function and its first and second derivatives are determined criteria for the existence of real solutions, the criterion of the existence of model solutions, the algorithm studies the asymptotic behavior of solutions and obtain concrete expressions.
format Article
id doaj-art-372f6db7e56c47469a1906bad26bd40e
institution Kabale University
issn 2307-910X
language Russian
publishDate 2022-10-01
publisher North-Caucasus Federal University
record_format Article
series Современная наука и инновации
spelling doaj-art-372f6db7e56c47469a1906bad26bd40e2025-08-20T03:42:19ZrusNorth-Caucasus Federal UniversityСовременная наука и инновации2307-910X2022-10-01014955857INVESTIGATION OF SOLUTIONS OF THE NONLINEAR DIFFERENTIAL EQUATION OF THE THIRD ORDERAlexander Borisovich Cheboksarov0Victor Aleksandrovich Cheboksarov1Nelly Petrovna Charish2North Caucasus Federal UniversityNorth Caucasus Federal UniversityNorth Caucasus Federal UniversityIn work is considered simulation third-order equation with a power nonlinearity of the unknown function and its first and second derivatives are determined criteria for the existence of real solutions, the criterion of the existence of model solutions, the algorithm studies the asymptotic behavior of solutions and obtain concrete expressions.https://msi.elpub.ru/jour/article/view/858теория нелинейных процессовнелинейные дифференциальные уравненияметод эталонного моделированияфазовая функцияуравнение нулевого приближения метода эталонного моделированияtheory of the nonlinear processesnonlinear diferential equationsmethod of master modelingphase functionequation of the zero approach the method of master modeling
spellingShingle Alexander Borisovich Cheboksarov
Victor Aleksandrovich Cheboksarov
Nelly Petrovna Charish
INVESTIGATION OF SOLUTIONS OF THE NONLINEAR DIFFERENTIAL EQUATION OF THE THIRD ORDER
Современная наука и инновации
теория нелинейных процессов
нелинейные дифференциальные уравнения
метод эталонного моделирования
фазовая функция
уравнение нулевого приближения метода эталонного моделирования
theory of the nonlinear processes
nonlinear diferential equations
method of master modeling
phase function
equation of the zero approach the method of master modeling
title INVESTIGATION OF SOLUTIONS OF THE NONLINEAR DIFFERENTIAL EQUATION OF THE THIRD ORDER
title_full INVESTIGATION OF SOLUTIONS OF THE NONLINEAR DIFFERENTIAL EQUATION OF THE THIRD ORDER
title_fullStr INVESTIGATION OF SOLUTIONS OF THE NONLINEAR DIFFERENTIAL EQUATION OF THE THIRD ORDER
title_full_unstemmed INVESTIGATION OF SOLUTIONS OF THE NONLINEAR DIFFERENTIAL EQUATION OF THE THIRD ORDER
title_short INVESTIGATION OF SOLUTIONS OF THE NONLINEAR DIFFERENTIAL EQUATION OF THE THIRD ORDER
title_sort investigation of solutions of the nonlinear differential equation of the third order
topic теория нелинейных процессов
нелинейные дифференциальные уравнения
метод эталонного моделирования
фазовая функция
уравнение нулевого приближения метода эталонного моделирования
theory of the nonlinear processes
nonlinear diferential equations
method of master modeling
phase function
equation of the zero approach the method of master modeling
url https://msi.elpub.ru/jour/article/view/858
work_keys_str_mv AT alexanderborisovichcheboksarov investigationofsolutionsofthenonlineardifferentialequationofthethirdorder
AT victoraleksandrovichcheboksarov investigationofsolutionsofthenonlineardifferentialequationofthethirdorder
AT nellypetrovnacharish investigationofsolutionsofthenonlineardifferentialequationofthethirdorder