Averaging techniques for self-adjoint matrix equations on a measure chain ✩

We apply averaging techniques to establish oscillation and nonoscillation criteria for the self-adjoint matrix dynamic equation LX(t ) := [P(t)XΔ(t )]Δ + Q(t )Xσ (t ) = 0 on a measure chain T. These results extend and unify earlier results for the differential and difference equation case.  2002 Elsevier Science (USA). All rights reserved