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Controllability for semilinear retarded control systems in Hilbert spaces. (English) Zbl 1139.35015
The authors consider a class of semilinear retarded functional differential equations. After proving well-posedness of the problem and ${L}^{2}$-regularity properties of the solutions, they establish a relation between the reachable set of a semilinear system and that of the corresponding linear system.
##### MSC:
 35B37 PDE in connection with control problems (MSC2000) 35F25 Initial value problems for first order nonlinear PDE 35R10 Partial functional-differential equations 93B05 Controllability
##### Keywords:
well-posedness; reachable set
##### References:
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