Asymptotically almost periodic solution to a class of Volterra difference equations

Autor:	Wen-Hai Pan, Wei Long
Rok vydání:	2012
Předmět:	Class (set theory) Pure mathematics Algebra and Number Theory Partial differential equation Functional analysis Differential equation Applied Mathematics Mathematical analysis Fixed-point theorem Existence theorem Compact space Ordinary differential equation Analysis Mathematics
Zdroj:	Advances in Difference Equations. 2012
ISSN:	1687-1847
Popis:	This paper is concerned with an asymptotically almost periodic solution to a class of Volterra-type difference equations. We establish a compactness criterion for the sets of asymptotically almost periodic sequences. Then, by using the compactness criterion and Schauder’s fixed point theorem, we present an existence theorem for an asymptotically almost periodic solution to the addressed Volterra-type difference equation. Our existence theorem extends and complements a recent result due to (Ding et al. in Electron. J. Qual. Theory Differ. Equ. 6:1-13, 2012).
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95f4ddbedf1f06ace389fba354e66f6e https://doi.org/10.1186/1687-1847-2012-199 Zobrazit plný text záznamu Full text from SpringerLink