Establishes continuous/smooth dependence results for a retarded FDE in L^p history space despite a discontinuous history functional, by invoking regularity of composition operators under growth assumptions on the nonlinearity.
Nishiguchi, A necessary and sufficient condition for well-posedness of in itial value problems of retarded functional differential equations , J
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Some discontinuous functional differential equation and its connection to smoothness of composition operators in $L^p$
Establishes continuous/smooth dependence results for a retarded FDE in L^p history space despite a discontinuous history functional, by invoking regularity of composition operators under growth assumptions on the nonlinearity.