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Oscillation and nonoscillation criteria for two-dimensional time-scale systems of first-order nonlinear dynamic equations. (English) Zbl 1185.34140

The author extends oscillation criteria for certain two-dimensional linear difference and differential systems of first-order to nonlinear dynamic equations on arbitrary time scales. An example is presented to show that a key theorem is sharp on all time scales.

MSC:

34N05 Dynamic equations on time scales or measure chains
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
39A10 Additive difference equations
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