Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588, USA. E-mail: s-bbuchho1@math.unl.edu
AMS subject classification: 34A30, 39A10, 34C10.
We obtain oscillation criteria for a second-order self-adjoint matrix equation on a time scale in terms of the eigenvalues of the coefficient matrices and the graininess and backward graininess functions. We then illustrate these results with some nontrivial examples.
Time scales, self-adjoint matrices, Riccati equation, oscillation.