On the bounded solutions of a difference equation with variable operator coefficient

Authors

  • М.F. Gorodnii Taras Shevchenko National University of Kiev
  • I.V. Gonchar Taras Shevchenko National University of Kiev

DOI:

https://doi.org/10.15407/dopovidi2016.12.012

Keywords:

bounded solution, difference equation, finite-dimensional space, linear operator

Abstract

We study the problem of existence of the unique bounded solution of a difference equation with variable operator coefficient in a finite-dimensional Banach space.

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References

Gorodnii M.F. Ukr. Mat. J., 1991, 43, No 1: 42-46 (in Russian).

Dorogovtsev A.Ya. Periodic and Stationary Regimes of Infinite-Dimensional Deterministic and Stochastic Dynamical Systems, Kiev: Vyshcha Shkola, 1992 (in Russian). PMid:1463230

Kim V.S. Differ. Equations, 1967, 3, No 12: 2151-2160 (in Russian).

Baskakov A.G., Pastukhov A.I. Sib. Math. J., 2001, 42, Iss. 6: 1026-1035. doi: https://doi.org/10.1023/A:1012832208161

Slyusarchuk V.E. Math. Notes, 1985, 37, Iss. 5: 360-363. doi: https://doi.org/10.1007/BF01157966

Henry D. Geometric Theory of Semilinear Parabolic Equations, Moscow: Mir, 1985 (in Russian).

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Published

26.12.2024

How to Cite

Gorodnii М., & Gonchar, I. (2024). On the bounded solutions of a difference equation with variable operator coefficient . Reports of the National Academy of Sciences of Ukraine, (12), 12–16. https://doi.org/10.15407/dopovidi2016.12.012

Issue

No. 12 (2016): Reports of the National Academy of Sciences of Ukraine

Section

Mathematics

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Copyright (c) 2024 Reports of the National Academy of Sciences of Ukraine

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