Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 24, pp. 1-13.

Title: Oscillation and nonoscillation criteria for two-dimensional
       time-scale systems of first-order nonlinear dynamic equations
   
Author: Douglas R. Anderson (Concordia College, Moorhead, MN, USA

Abstract:
 Oscillation criteria for two-dimensional difference and differential
 systems of first-order linear difference equations are generalized
 and extended to nonlinear dynamic equations on arbitrary time scales.
 This unifies and extends under one theory previous linear results
 from discrete and continuous systems. An example is given
 illustrating that a key theorem is sharp on all time scales.
 
Submitted January 20, 2009. Published January 29, 2009.
Math Subject Classifications: 34B10, 39A10.
Key Words: Nonoscillation; nonlinear system; time scales.