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

TitleOn the bounded solutions of a difference equation with variable operator coefficient
Publication TypeJournal Article
Year of Publication2016
AuthorsGorodnii, MF, Gonchar, IV
Abbreviated Key TitleDopov. Nac. akad. nauk Ukr.
DOI10.15407/dopovidi2016.12.012
Issue12
SectionMathematics
Pagination12-16
Date Published12/2016
LanguageUkrainian
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.
Keywordsbounded solution, difference equation, finite-dimensional space, linear operator
References: 
  1. Gorodnii M.F. Ukr. Mat. J., 1991, 43, No 1: 42-46 (in Russian).
  2. Dorogovtsev A.Ya. Periodic and Stationary Regimes of Infinite-Dimensional Deterministic and Stochastic Dynamical Systems, Kiev: Vyshcha Shkola, 1992 (in Russian). PMid:1463230
  3. Kim V.S. Differ. Equations, 1967, 3, No 12: 2151-2160 (in Russian).
  4. Baskakov A.G., Pastukhov A.I. Sib. Math. J., 2001, 42, Iss. 6: 1026-1035. doi: https://doi.org/10.1023/A:1012832208161
  5. Slyusarchuk V.E. Math. Notes, 1985, 37, Iss. 5: 360-363. doi: https://doi.org/10.1007/BF01157966
  6. Henry D. Geometric Theory of Semilinear Parabolic Equations, Moscow: Mir, 1985 (in Russian).