Migda Janusz: Asymptotic behavior of solutions to difference equations in Banach spaces. (2021)
Teljes mű
ejqtde_2021_088.pdf Download (437kB) |
Abstract
We investigate the asymptotic properties of solutions to higher order nonlinear difference equations in Banach spaces. We introduce a new technique based on a vector version of discrete L’Hospital’s rule, remainder operator, and the regional topology on the space of all sequences on a given Banach space. We establish sufficient conditions for the existence of solutions with prescribed asymptotic behavior. Moreover, we are dealing with the problem of approximation of solutions. Our technique allows us to control the degree of approximation of solutions.
Item Type: | Journal |
---|---|
Publication full: | Electronic journal of qualitative theory of differential equations |
Date: | 2021 |
Number: | 88 |
ISSN: | 1417-3875 |
Number of Pages: | 17 |
Language: | English |
Place of Publication: | Szeged |
DOI: | 10.14232/ejqtde.2021.1.88 |
Uncontrolled Keywords: | Differenciálegyenlet, Banach tér |
Additional Information: | Bibliogr.: p. 16-17. ; összefoglalás angol nyelven |
Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics |
Date Deposited: | 2022. May. 23. 12:50 |
Last Modified: | 2022. May. 23. 13:15 |
URI: | http://acta.bibl.u-szeged.hu/id/eprint/75809 |
Actions (login required)
View Item |