E3S Web Conf.
Volume 263, 2021XXIV International Scientific Conference “Construction the Formation of Living Environment” (FORM-2021)
|Number of page(s)||7|
|Section||Modelling and Mechanics of Building Structures|
|Published online||28 May 2021|
Research of a third-order nonlinear differential equation in the vicinity of a moving singular point for a complex plane
Moscow State University of Civil Engineering, Yaroslavskoe shosse, 26, Moscow, 129337, Russia
This article generalizes the previously obtained results of existence and uniqueness theorems for the solution of a third-order nonlinear differential equation in the vicinity of moving singular points in the complex domain, as well as constructs an analytical approximate solution, and obtains a priori estimates of the error of this approximate solution. The study was carried out using the modified method of majorants to solve this equation, which differs from the classical theory, in which this method is applied to the right-hand side of the equation The final point of the article is to conduct a numerical experiment to test the theoretical positions obtained.
© The Authors, published by EDP Sciences, 2021
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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