Aronszajn-Hukuara type theorem for semilinear differential inclusions with nonlocal conditions

Autor: Tiziana Cardinali, Paola Rubbioni
Jazyk: angličtina
Rok vydání: 2015
Předmět:
Zdroj: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2015, Iss 45, Pp 1-12 (2015)
Druh dokumentu: article
ISSN: 1417-3875
DOI: 10.14232/ejqtde.2015.1.45
Popis: In this note we investigate the topological structure of the mild solution set of nonlocal Cauchy problems governed by semilinear differential inclusions in separable Banach spaces. We show that the mild solution set is a compact absolute retract (and then a continuum and $R_\delta$-set). As a particular case, the topological structure of the periodic mild solution set is deduced. An illustrating example is supplied.
Databáze: Directory of Open Access Journals