Stability and Two-Sided Estimates of Solutions of a Linear Nonautonomous Differential Equation with Variable Delay | Sciact - Система учета научной деятельности ИМ СО РАН

Stability and Two-Sided Estimates of Solutions of a Linear Nonautonomous Differential Equation with Variable Delay Научная публикация

Журнал

Siberian Advances in Mathematics
ISSN: 1055-1344 , E-ISSN: 1934-8126

Вых. Данные

Год: 2025, Том: 35, Страницы: 229-238 Страниц : 10 DOI: 10.1134/S105513442503006X

Ключевые слова

linear nonautonomous differential equation with variable delay, stability, Lyapunov–Krasovski˘ı functional, exponential estimates of solutions of the Cauchy problem.

Авторы

Pertsev N.V. ¹

Организации

1	Sobolev Institute of Mathematics, Omsk Division, Omsk, 644043 Russia

Информация о финансировании (1)

Омский филиал ФГБУН «Институт математики им. С.Л. Соболева СО РАН».

FWNF-2022-0003

We study stability conditions for the trivial equilibrium of a linear nonautonomous differential equation with variable delay arising in simulation of population dynamics. This equation is supplemented by an auxiliary equation reflecting dynamics of the number of individuals in the population at an intermediate stage of development. We analyze stability of the trivial equilibrium of the basic equation with the use of Lyapunov–Krasovskiı˘ functionals and the method of integral inequalities. We construct upper and lower exponential estimates of solutions of the Cauchy problems for the basic and auxiliary equations.

Pertsev N.V.
Stability and Two-Sided Estimates of Solutions of a Linear Nonautonomous Differential Equation with Variable Delay
Siberian Advances in Mathematics. 2025. V.35. P.229-238. DOI: 10.1134/S105513442503006X Scopus OpenAlex

Перцев Н.В.
Устойчивость и двусторонние оценки решений линейного неавтономного дифференциального уравнения с переменным запаздыванием
Математические труды. 2025. Т.28. №1. С.134–150. DOI: 10.25205/1560-750X-2025-28-1-134-150 РИНЦ OpenAlex

Поступила в редакцию:	31 июл. 2024 г.
Принята к публикации:	26 сент. 2024 г.

Scopus:	2-s2.0-105018822884
OpenAlex:	W4415151046

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