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

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

Journal

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

Output data

Year: 2025, Volume: 35, Pages: 229-238 Pages count : 10 DOI: 10.1134/S105513442503006X

Funding (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

Submitted:	Jul 31, 2024
Accepted:	Sep 26, 2024

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

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