Nonoscillation Criteria for Nonlinear Delay Dynamic Systems on Time Scales

In this paper, we consider the nonlinear delay dynamic system
xΔ(t) = p(t)f1(y(t)), yΔ(t) = −q(t)f2(x(t − τ )).
We obtain some necessary and sufficient conditions for the existence of nonoscillatory solutions with special asymptotic properties of the system. We generalize the known results in the literature. One example is given to illustrate the results.

• Xinli Zhang

• Dynamic system
• oscillation
• time scales
• two-dimensional.

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