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- Title
On the Solvability of a Class of Discrete Matrix Equations with Cubic Nonlinearity.
- Authors
Khachatryan, Kh. A.; Andriyan, S. M.
- Abstract
We study and solve one class of discrete matrix equations with cubic nonlinearity. The existence of a two-parameter family of monotone and bounded solutions is proved. Under certain additional conditions, we determine the asymptotic behavior of the constructed solutions. The obtained results are extended to the corresponding inhomogeneous discrete matrix equations and to some more general cases of nonlinearity.
- Subjects
CUBIC equations; MATRICES (Mathematics); NONLINEAR analysis
- Publication
Ukrainian Mathematical Journal, 2020, Vol 71, Issue 12, p1910
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-020-01755-4