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JOURNALS // Chelyabinskiy Fiziko-Matematicheskiy Zhurnal // Archive

Chelyab. Fiz.-Mat. Zh., 2025 Volume 10, Issue 4, Pages 664–676 (Mi chfmj474)

Mathematics

Estimates of solutions to systems of nonlinear differential equations of neutral type with infinite distributed delay

T. K. Iskakov

Novosibirsk State University, Novosibirsk, Russia

Abstract: A class of systems of nonlinear differential equations of neutral type with infinite distributed delay and periodic coefficients in the linear part is considered. Using the Lyapunov–Krasovskii functional, sufficient conditions for exponential stability of the zero solution are obtained, estimates of solutions characterizing exponential decrease at infinity are established, estimates of the attraction set of the zero solution are established.

Keywords: differential equations with distributed delay, neutral type equation, periodic coefficients, stability, Lyapunov–Krasovskii functional.

UDC: 517.929.4

Received: 01.07.2025
Revised: 16.09.2025

DOI: 10.47475/2500-0101-2025-10-4-664-676



© Steklov Math. Inst. of RAS, 2026