Viability for delay evolution equations with nonlocal initial conditions. (July 2015)

• Record Type: Journal Article
• Authors: Necula, Mihai; Popescu, Marius; Vrabie, Ioan I.
• Is Part Of: Nonlinear analysis. Volume 121(2015)
• Page Start: 164
• Page End: 172
• Publication Date: 2015-07
• Subjects: Delay differential inclusion -- m-dissipative operator -- Viability; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2014.11.014
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We prove a sufficient condition for a time-dependent closed set to be viable with respect to a delay evolution inclusion subjected to an implicit nonlocal initial condition. An application to a comparison problem is also included.