Estimates for solutions to a class of nonautonomous nonlinear systems of neutral type with two kinds of delays
0000-0002-9390-2702 The material was received by the Editorial Board: 03.08.2025
A class of systems of nonautonomous nonlinear differential equations of neutral type with concentrated and distributed delays is considered. By using a Lyapunov--Krasovskii functional, we establish estimates allowing us to conclude whether solutions are stable. In the case of exponential stability, estimates for an attraction set and a stabilization rate of the solutions at infinity are given.
УДК 517.929.64
${file_?????}Keywords: systems of neutral type, variable coefficients, estimates for solutions, stability, attraction set, Lyapunov--Krasovskii functional.
References: Inessa I. Matveeva Estimates for solutions to a class of nonautonomous nonlinear systems of neutral type with two kinds of delays. Mat. Trudy. 2025, 28, №4. P. 114–131. DOI: 10.25205/1560-750X-2025-28-4-114-131