@article{Khachatryan_Andriyan_2019, title={On the solvability of a class of discrete matrix equations with a cubic nonlinearity}, volume={71}, url={http://umj.imath.kiev.ua/index.php/umj/article/view/186}, abstractNote={<p>We study and solve one class of discrete matrix equations with cubic nonlinearity. <br>The existence of two parametric families of monotone and bounded solutions is proved. <br>Under certain additional conditions, we establish the asymptotic behavior of the constructed solutions. <br>The obtained results are extended to the corresponding inhomogeneous discrete matrix equations and to certain more general cases of nonlinearity.</p>}, number={12}, journal={Ukrainsâ€™kyi Matematychnyi Zhurnal}, author={Khachatryan, Kh. A. and Andriyan, S. M.}, year={2019}, month={Dec.}, pages={1667-1683} }