Periodic problems of difference equations and ergodic theory
type: Item
instance of: scholarly article
title: Periodic problems of difference equations and ergodic theory
zbMATH Open document ID: 1222.34074
DOI: 10.1155/2011/928587
author: B. A. Biletskyi
author: Alexander Boichuk
author: O. O. Pokutnyj
published in: Abstract and Applied Analysis
publication date: 2011-09-09T00:00:00Z
review text: Summary: Necessary and sufficient conditions for solvability of a family of difference equations with periodic boundary condition were obtained using the notion of relative spectrum of a linear bounded operator in the Banach space and an ergodic theorem. It is shown that when the condition of existence is satisfied, then such periodic solutions are built using the formula for the generalized inverse operator to the linear limited one.
Mathematics Subject Classification ID: 34K10
Mathematics Subject Classification ID: 34K13
zbMATH DE Number: 5946526
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2011/928587
OpenAlex ID: W2165045343
Wikidata QID: Q58654541
cites work: Q5536820
cites work: Q4674795
cites work: Introduction to the theory of infinite-dimensional dissipative systems. Transl. from the Russian by Constantin I. Chueshov, edited by Maryna B. Khorolska
cites work: Q5849795
description: scientific article; zbMATH DE number 5946526