A NECESSARY AND SUFFICIENT CONDITION FOR THE EXISTENCE OF A MOBILE SINGULAR POINT FOR A NONLINEAR DIFFERENTIAL EQUATION OF THE THIRD ORDER

Authors

  • Magomedyusuf Vladimirovich Gasanov National Research Moscow State Construction University

DOI:

https://doi.org/10.36773/1818-1112-2022-127-1-13-16

Keywords:

wave processes, nonlinear differential equations, signs of the existence of moving points

Abstract

A nonlinear third-order equation with a seventh-degree polynomial on the right-hand side is considered. A distinctive feature of this class of equations is the presence of movable functions, which makes these equations undecidable in quadratures. The work obtained data on the observance of movable singular points. The presented theory is a means of compiling an algorithm and writing a software complex for finding moving points.

Author Biography

Magomedyusuf Vladimirovich Gasanov, National Research Moscow State Construction University

Lecturer at the Department of Higher Mathematics "National Research Moscow State University of Civil Engineering”, Moscow, Russian Federation.

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Published

2022-03-15

How to Cite

(1)
Gasanov, M. V. A NECESSARY AND SUFFICIENT CONDITION FOR THE EXISTENCE OF A MOBILE SINGULAR POINT FOR A NONLINEAR DIFFERENTIAL EQUATION OF THE THIRD ORDER. Вестник БрГТУ 2022, 13-16.

Issue

No. 1(127) (2022): Vestnik of Brest State Technical University

Section

Civil and Environmental Engineering

License

The authors retain the right to enter into certain contractual agreements relating to the non-exclusive distribution of the published version of the work (e.g. post it on the institutional repository, publication in the book), with the reference to its original publication in this journal.