Suppose 0< r<+ oo is given. If x:[o—r, о+ А)-> Вп, A> 0, is a given function, let xt:[—r, 0]-» i? n, for each te [a, o+ A), be defined by xt (0)= x (t+ ff),—r^ 0; gO.
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In the theory of retarded functional differential equations (1) x {t)= f (t, xt), the appropriate choice for the space of initial data for a solution x at t= a is never very clear.
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