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Delay differential inclusions with constraints

Authors: Shou Chuan Hu and Nikolaos S. Papageorgiou
Journal: Proc. Amer. Math. Soc. 123 (1995), 2141-2150
MSC: Primary 34K15; Secondary 34A60, 49J24
MathSciNet review: 1257111
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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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Keywords: Upper semicontinuous multifunction, $ {R_\delta }$-set, tangent cone, periodic solution, Hausdorff metric, time-varying constraint
Article copyright: © Copyright 1995 American Mathematical Society

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