Stability of difference rational systems
For systems of difference equations with rational functions on the right-hand sides represented in a unified vector matrix form, we obtain stability conditions and calculate a value of the radius of a disk for the domain of asymptotic stability on the basis of the second Lyapunov method.
English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 3, pp 476-479.
Citation Example: Khusainov D. Ya., Shevelenko E. E. Stability of difference rational systems // Ukr. Mat. Zh. - 1999. - 51, № 3. - pp. 428–431.