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

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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Bibliographic Details
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:
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
Online Access:https://msi.elpub.ru/jour/article/view/858
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Summary: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.
ISSN:2307-910X

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