Mathematics

Stability of solutions to systems of functional-difference equations

Beloborodova Alina V^a, T. K. Iskakov<sup>b

a</sup> Novosibirsk State University
^b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: We consider a class of systems of nonlinear functional-difference equations with periodic coefficients in the linear part. Using the Lyapunov function, we establish sufficient conditions for the exponential stability of the zero solution and estimates characterizing the rate of decay of solutions at infinity.

Keywords: functional-difference equations, periodic coefficients, exponential stability, solution estimates, Lyapunov function

UDC: 517.929

Received: 12.11.2025
Accepted: 01.12.2025

DOI: 10.25587/2411-9326-2025-4-3-13