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

Journal Title

Proceedings of the American Mathematical Society

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