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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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) |
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Difference equation bounded in the mean solution stationary solution proximity of solutions Applied mathematics. Quantitative methods T57-57.97 Mathematics QA1-939 |
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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 |