Metadata (abstracts and keywords) for the articles in the journal
T. S. Aleroev, M. V. Gasanov A necessary and sufficient condition for the existence of a mobile singular points for a third-order nonlinear differential equation // Vestnik I. Yakovlev Chuvach State Pedagogical University. Series: Mechanics of a limit state . 2021. № 1(47). p. 49-55
Author(s):
T. S. Aleroev, M. V. Gasanov
Index of UDK:
539.374
DOI:
10.37972/chgpu.2021.1.47.004
Title:
A necessary and sufficient condition for the existence of a mobile singular points for a third-order nonlinear differential equation
Keywords:
wave processes, nonlinear differential equations, criteria for the existence of movable singular points.
Abstracts:
A nonlinear third-order equation with second degree polynomial on the right. The hallmark of this class equations is the presence of movable singularities, which makes these equations undecidable in quadratures. The work obtained interval criteria the existence of movable singular points. The theory presented is help for writing various algorithms in various software complexes for finding movable singular points.
The contact details of authors:
Aleroev Temirkhan Sultanovich,
Professor, Doctor of Physical and Mathematical Sciences, Moscow State University of Civil Engineering, Moscow, Russia.
Gasanov Magomedyusuf Vladimirovich,
Teacher, Moscow State University of Civil Engineering, Moscow, Russia.
Russian
English