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On the Solvability of a Class of Discrete Matrix Equations with Cubic Nonlinearity

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Ukrainian Mathematical Journal Aims and scope

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.

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Authors and Affiliations

  1. Institute of Mathematics, Armenian National Academy of Sciences, Erevan, Armenia

    Kh. A. Khachatryan

  2. National Agrarian University, Erevan, Armenia

    S. M. Andriyan

Authors
  1. Kh. A. Khachatryan
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  2. S. M. Andriyan
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Corresponding author

Correspondence to Kh. A. Khachatryan.

Additional information

Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 71, No. 12, pp. 1667–1683, December, 2019.

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Khachatryan, K.A., Andriyan, S.M. On the Solvability of a Class of Discrete Matrix Equations with Cubic Nonlinearity. Ukr Math J 71, 1910–1928 (2020). https://doi.org/10.1007/s11253-020-01755-4

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  • DOI: https://doi.org/10.1007/s11253-020-01755-4

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