Delay differential inclusions with constraints

Hu, Shou Chuan; Papageorgiou, Nikolaos S.

doi:10.1090/S0002-9939-1995-1257111-9

Delay differential inclusions with constraints
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by Shou Chuan Hu and Nikolaos S. Papageorgiou

Proc. Amer. Math. Soc. 123 (1995), 2141-2150

DOI: https://doi.org/10.1090/S0002-9939-1995-1257111-9

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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 ${R_\delta }$ 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 ${R_\delta }$ remains open.

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On the solution set for differential inclusions

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