  A limiting property of the nearest-neighbor recurrence coefficients for
multiple orthogonal polynomials from a Nevai class is investigated. Namely,
assuming that the nearest-neighbor coefficients have a limit along rays of the
lattice, we describe it in terms of the solution of a system of partial
differential equations.
  In the case of two orthogonality measures the differential equation becomes
ordinary. For Angelesco systems, the result is illustrated numerically.
