Mixed type semicontinuous differential inclusions in Banach spaces
Volume 77 / 2001
Annales Polonici Mathematici 77 (2001), 245-259
MSC: Primary 34A60, 34C99, 34E15; Secondary 49J24, 93B40.
DOI: 10.4064/ap77-3-4
Abstract
We consider a class of differential inclusions in (nonseparable) Banach spaces satisfying mixed type semicontinuity hypotheses and prove the existence of solutions for a problem with state constraints. The cases of dissipative type conditions and with time lag are also studied. These results are then applied to control systems.
