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JOURNALS // Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki // Archive

Zh. Vychisl. Mat. Mat. Fiz., 2024 Volume 64, Number 8, Pages 1486–1499 (Mi zvmmf11816)

Partial Differential Equations

Estimates of solutions for a class of nonautonomous systems of neutral type with concentrated and distributed delays

I. I. Matveeva

Novosibirsk State University, 630090, Novosibirsk, Russia

Abstract: A class of systems of nonautonomous differential equations of neutral type with concentrated and distributed delays is considered. By using a Lyapunov–Krasovskii functional, estimates are established that imply whether the solutions are stable. In the case of exponential stability, estimates for the stabilization rate of the solutions at infinity are given.

Key words: systems of neutral type, variable coefficients, estimates of solutions, stability, Lyapunov–Krasovskii functional.

UDC: 517.929

Received: 02.04.2024
Revised: 02.04.2024
Accepted: 02.05.2024

DOI: 10.31857/S0044466924080139


 English version:
Computational Mathematics and Mathematical Physics, 2024, 64:8, 1796–1808

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© Steklov Math. Inst. of RAS, 2026