International Journal of Difference Equations
  • Year: 2007
  • Volume: 2
  • Issue: 1

Oscillation criteria for self-adjoint matrix equations on time scales

  • Author:
  • Bobbi Buchholz
  • Total Page Count: 19
  • Page Number: 49 to 67

Department of Mathematics, University of Nebraska-Lincoln, Lincoln, NE 68588, USA. E-mail: s-bbuchho1@math.unl.edu

AMS subject classification: 34A30, 39A10, 34C10.

Abstract

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.

Keywords

Time scales, self-adjoint matrices, Riccati equation, oscillation.