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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Main Authors:	Mykhailo Horodnii, Victoriia Kravets
Format:	article
Language:	EN
Published:	VTeX 2021
Subjects:	Difference equation bounded in the mean solution stationary solution proximity of solutions Applied mathematics. Quantitative methods T57-57.97 Mathematics QA1-939
Online Access:	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
_version_	1718425691574239232

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

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