Abstract
This paper deals with well-posedness and L 2-regularity properties for a class of semilinear retarded functional differential equations. A relation between the reachable set of a semilinear system and that of the corresponding linear system is proved. We also show that the Lipschitz continuity and the uniform boundedness of the nonlinear term can be considerably weakened. Finally, a simple example is given, to which our main result can be applied.
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This work was supported by the Brain Korea 21 Project in 2006.
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Jeong, JM., Kim, JR. & Roh, HH. Controllability for Semilinear Retarded Control Systems in Hilbert Spaces. J Dyn Control Syst 13, 577–591 (2007). https://doi.org/10.1007/s10883-007-9024-6
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DOI: https://doi.org/10.1007/s10883-007-9024-6