... V 5& apos;~(s,x,y) >VS'~(s,x,y) >0, V5,6>0, k&apos ;52 '~is, x,y ) > l /5& quot;~(s,x,y), V52 >__ 51 > O, ~ >_ 0, V~2'~(s,x,y) >_ VS~'~(s,x,y), V52 ... (4. 25) such that (5. 8) [I - P(t)C~] -1 is bounded for t e [0, T], 1 < i < d, and the FBSDE (5. 1) admits a unique adapted solution (X, Y, Z) e ~4[0, T] which can be represented by (5. 5), ... 67 Proof. Fix (s, x, y) E [0, T] x IR n x Rm, 5, 5, s, f > 0, and Z C Z[s, T]. Let Z~ (resp. Z$) be the 1 /5- (resp. 1 /5- ) truncation of Z; and (X, Y) (resp. A (X,Y)) the solution of (3.22)...