Display Abstract

Title A viability result for delay evolution equations with implicit nonlocal initial conditions

Name Ioan Vrabie
Country Romania
Email ivrabie@uaic.ro
Co-Author(s) Mihai Necula, Marius Popescu
Submit Time 2014-02-22 13:51:38
Session
Special Session 50: Evolution equations and inclusions with applications to control, mathematical modeling and mechanics
Contents
A necessary and sufficient condition in order that a time-dependent set be viable with respect to a delay evolution equation subjected to an implicit nonlocal initial condition is established. Then, using this result which, as far as we know, is the first one referring to viability for such kind of problems, some concrete applications to nonlinear parabolic equations are derived. {\bf Acknowledgements.} {\small This work was supported by a grant of the Romanian National Authority for Scientific Research, CNCS--UEFISCDI, project number PN-II-ID-PCE-2011-3-0052.}