Technology for Obtaining the Approximate Value of Moving Singular Points for a Class of Nonlinear Differential Equations in a Complex Domain

Victor Orlov () and Magomedyusuf Gasanov
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Victor Orlov: Institute of Digital Technologies and Modeling in Construction, Moscow State University of Civil Engineering, Yaroslavskoye Shosse, 26, 129337 Moscow, Russia
Magomedyusuf Gasanov: Institute of Digital Technologies and Modeling in Construction, Moscow State University of Civil Engineering, Yaroslavskoye Shosse, 26, 129337 Moscow, Russia

Mathematics, 2022, vol. 10, issue 21, 1-7

Abstract: In previous studies, the authors formulated precise criteria for finding moving singular points of one class of nonlinear differential equations with a second degree polynomial right-hand side for a real domain. In this paper, the authors generalize these exact criteria to a complex one by using phase spaces. The proposed technology for obtaining an approximate value of moving singular points is necessary for developing PC programs. This technology has been tested in a manual version based on a numerical experiment.

Keywords: nonlinear differential equations; mobile singular point; exact criteria of existence; necessary and sufficient conditions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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