Geodesic
Stability of solutions to one class of difference equations with time-varying delay and periodic coefficients in linear terms
Matematičeskie zametki SVFU, Tome 30 (2023), pp. 37-48.

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We consider a class of systems of difference equations with time-varying delay and periodic coefficients in linear terms. Conditions for the asymptotic stability of the zero solution are established and estimates characterizing stabilization rates of solutions at infinity are obtained.
Keywords: delay difference equations, asymptotic stability, Lyapunov–Krasovskii functional, estimates for solutions. 
@article{SVFU_2023_30_a3,
     author = {I. I. Matveeva and A. V. Khmil},
     title = {Stability of solutions to one class of difference equations with time-varying delay and periodic coefficients in linear terms},
     journal = {Matemati\v{c}eskie zametki SVFU},
     pages = {37--48},
     publisher = {mathdoc},
     volume = {30},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SVFU_2023_30_a3/}
}
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I. I. Matveeva; A. V. Khmil. Stability of solutions to one class of difference equations with time-varying delay and periodic coefficients in linear terms. Matematičeskie zametki SVFU, Tome 30 (2023), pp. 37-48. http://geodesic.mathdoc.fr/item/SVFU_2023_30_a3/