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.


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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