Douglas R. Anderson
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.
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| Douglas R. Anderson |
Department of Mathematics and Computer Science
Moorhead, MN 56562, USA
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