Bounded in the mean solutions of a second-order difference equation

Sufficient conditions are given for the existence of a unique bounded in the mean solution to a second-order difference equation with jumps of operator coefficients in a Banach space. The question of the proximity of this solution to the stationary solution of the corresponding difference equation w...

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Autores principales: Mykhailo Horodnii, Victoriia Kravets
Formato: article
Lenguaje:EN
Publicado: VTeX 2021
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Acceso en línea:https://doaj.org/article/b1b78c781e974c5e88e513849bda2dd2
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spelling oai:doaj.org-article:b1b78c781e974c5e88e513849bda2dd22021-11-17T08:47:29ZBounded in the mean solutions of a second-order difference equation10.15559/21-VMSTA1892351-60462351-6054https://doaj.org/article/b1b78c781e974c5e88e513849bda2dd22021-09-01T00:00:00Zhttps://www.vmsta.org/doi/10.15559/21-VMSTA189https://doaj.org/toc/2351-6046https://doaj.org/toc/2351-6054Sufficient conditions are given for the existence of a unique bounded in the mean solution to a second-order difference equation with jumps of operator coefficients in a Banach space. The question of the proximity of this solution to the stationary solution of the corresponding difference equation with constant operator coefficients is studied.Mykhailo HorodniiVictoriia KravetsVTeXarticleDifference equationbounded in the mean solutionstationary solutionproximity of solutionsApplied mathematics. Quantitative methodsT57-57.97MathematicsQA1-939ENModern Stochastics: Theory and Applications, Vol 8, Iss 4, Pp 465-473 (2021)
institution DOAJ
collection DOAJ
language EN
topic Difference equation
bounded in the mean solution
stationary solution
proximity of solutions
Applied mathematics. Quantitative methods
T57-57.97
Mathematics
QA1-939
spellingShingle Difference equation
bounded in the mean solution
stationary solution
proximity of solutions
Applied mathematics. Quantitative methods
T57-57.97
Mathematics
QA1-939
Mykhailo Horodnii
Victoriia Kravets
Bounded in the mean solutions of a second-order difference equation
description Sufficient conditions are given for the existence of a unique bounded in the mean solution to a second-order difference equation with jumps of operator coefficients in a Banach space. The question of the proximity of this solution to the stationary solution of the corresponding difference equation with constant operator coefficients is studied.
format article
author Mykhailo Horodnii
Victoriia Kravets
author_facet Mykhailo Horodnii
Victoriia Kravets
author_sort Mykhailo Horodnii
title Bounded in the mean solutions of a second-order difference equation
title_short Bounded in the mean solutions of a second-order difference equation
title_full Bounded in the mean solutions of a second-order difference equation
title_fullStr Bounded in the mean solutions of a second-order difference equation
title_full_unstemmed Bounded in the mean solutions of a second-order difference equation
title_sort bounded in the mean solutions of a second-order difference equation
publisher VTeX
publishDate 2021
url https://doaj.org/article/b1b78c781e974c5e88e513849bda2dd2
work_keys_str_mv AT mykhailohorodnii boundedinthemeansolutionsofasecondorderdifferenceequation
AT victoriiakravets boundedinthemeansolutionsofasecondorderdifferenceequation
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