Scopus Author ID: 59504927800
Researcher ID: 1301086
1. Novosibirsk State University, Novosibirsk, Russia
i.ilinykh@g.nsu.ru
The material was received by the Editorial Board: 29.06.2025
The paper considers a delay differential equation and a sequence of high-dimensional
systems of ordinary differential equations. A connection is established between the regions of
asymptotic stability of the zero solution, and the limiting properties of the sequence of Lyapunov
integrals are studied.
УДК 517.9
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Keywords: delay differential equation, high-dimensional system of ordinary differential equations,
stability, Lyapunov equation.
References: Ivan D. Ilinykh Limiting properties of a sequence of Lyapunov integrals determined by a single system of high-dimensional differential equations. Mat. Trudy. 2025, 28, №4. P. 46–78. DOI: 10.25205/1560-750X-2025-28-4-46-78
