Oscillation and Nonoscillation Criteria for Nonlinear Dynamic Systems on Time Scales

الملخص EN

We consider the nonlinear dynamic system xΔ(t)=a(t)g(y(t)), yΔ(t)=-f(t,xσ(t)).

We establish some necessary and sufficient conditions for the existence of oscillatory and nonoscillatory solutions with special asymptotic properties for the system.

We generalize the known results in the literature.

Some examples are included to illustrate the results.