Generic properties of multifunctions: Application to differential inclusions |
| |
Authors: | T. Donchev |
| |
Affiliation: | Abdus Salam School of Mathematical Sciences (ASSMS), 68-B, New Muslim Town, Lahore, Pakistan |
| |
Abstract: | We prove that almost all in Baire sense Caratheodory multifunctions in finite dimensional space are Kamke continuous. Further the main properties of differential inclusions with Kamke and one sided Kamke right-hand sides are studied.As a corollary we prove that for almost all optimal control problems, the relaxation and relaxation stability properties hold. |
| |
Keywords: | Kamke function Differential inclusions Relaxation Baire category |
本文献已被 ScienceDirect 等数据库收录! |