Oscillation criteria for second-order matrix dynamic equations on a time scale

  • Authors:
  • Lynn Erbe;Allan Peterson

  • Affiliations:
  • Department of Mathematics and Statistics, University of Nebraska-Lincoln, Lincoln, NE;Department of Mathematics and Statistics, University of Nebraska-Lincoln, Lincoln, NE

  • Venue:
  • Journal of Computational and Applied Mathematics - Dynamic equations on time scales
  • Year:
  • 2002

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Abstract

We obtain oscillation criteria for a second-order self-adjoint matrix differential equation on a measure chain in terms of the eigenvalues of the coefficient matrices and the graininess function. We illustrate our results with some nontrivial examples.