Stability of one difference equation with positive coefficients
We consider a linear homogeneous difference equation of ordern with positive coefficients, which is presented in the normal form. We obtain necessary and sufficient conditions for the stability and asymptotic stability.
English version (Springer): Ukrainian Mathematical Journal 51 (1999), no. 9, pp 1435-1440.
Citation Example: Khusainov D. Ya., Nikiforova N. S. Stability of one difference equation with positive coefficients // Ukr. Mat. Zh. - 1999. - 51, № 9. - pp. 1276–1280.