WEAK SOLUTIONS OF (P(X)U'(X))'+G(X)U'(X)+QU(X)=F WITH Q,F-EPSILON-H-1[A,B],Q-LESS-THAN-P(X)EPSILON-L-INFINITY[A,B],G(X)EPSILON-L-INFINITY[A,B] AND U-EPSILON-H1[A,B]