Existence of positive S-asymptotically periodic solutions of the fractional evolution equations in ordered Banach spaces

Autor:	Qiang Li, Lishan Liu, Mei Wei
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	fractional evolution equation S-asymptotically periodic solution positive C0-semigroup positive mild solution monotone iterative method Analysis QA299.6-433
Zdroj:	Nonlinear Analysis, Vol 26, Iss 5 (2021)
Druh dokumentu:	article
ISSN:	1392-5113 2335-8963
DOI:	10.15388/namc.2021.26.24176
Popis:	In this paper, we discuss the asymptotically periodic problem for the abstract fractional evolution equation under order conditions and growth conditions. Without assuming the existence of upper and lower solutions, some new results on the existence of the positive S-asymptotically ω-periodic mild solutions are obtained by using monotone iterative method and fixed point theorem. It is worth noting that Lipschitz condition is no longer needed, which makes our results more widely applicable.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/11bb7e55ba014846b90b8fc2669e2267 Zobrazit plný text záznamu View record in DOAJ