ON A BOUNDARY VALUE PROBLEM FOR NONLINEAR FUNCTIONAL DIFFERENTIAL EQUATIONS
ROBERT HAKL Received 21 August 2004 and in revised form 1 March 2005
We consider the problem u (t) = H(u)(t) + Q(u)(t), u(a) = h(u), where H,Q : C([a,b];R) αβ → L([a,b];R) are, in general, nonlinear continuous operators, H ∈ ab (g0 ,g1 , p0 , p1 ), and h : C([a,b];R) → R is a continuous functional. Eﬃcient conditions suﬃcient for the solvability and unique solvability of the problem considered are established. 1.