Douglas R. Anderson
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.
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Douglas R. Anderson Department of Mathematics and Computer Science Concordia College Moorhead, MN 56562, USA email: andersod@cord.edu |
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