Delay differential inclusions with constraints
Abstract
In this paper we examine functional differential inclusions with memory and state constraints. For the case of time-independent state constraints, we show that the solution set is Rδ under Carathéodory conditions on the orientor field. For the case of time-dependent state constraints we prove two existence theorems. For this second case, the question of whether the solution set is Rδ remains open. © 1995 American Mathematical Society.
Department(s)
Mathematics
Document Type
Article
DOI
https://doi.org/10.1090/S0002-9939-1995-1257111-9
Keywords
Hausdorff metric, Periodic solution, R -set δ, Tangent cone, Time-varying constraint, Upper semicontinuous multifunction
Publication Date
1-1-1995
Recommended Citation
Hu, Shouchuan, and Nikolaos S. Papageorgiou. "Delay differential inclusions with constraints." Proceedings of the American Mathematical Society 123, no. 7 (1995): 2141-2150.
Journal Title
Proceedings of the American Mathematical Society
