Oscillation Of Second-order Dynamic Equations Research Articles

Oscillation of second-order dynamic equations

In this paper, we consider the second-order nonlinear dynamic equations on an isolated time scale . Our first goal is to establish a relationship between the oscillatory behaviour of these equations. Here we assume that τ : → . We also give two results about the behaviour of the linear form of the latter equation on a general time scale that is unbounded above. We use the Riccati transformation technique to obtain our results.

Nonlinear oscillation of second-order dynamic equations on time scales

Interval oscillation criteria are established for a second-order nonlinear dynamic equation on time scales by utilizing a generalized Riccati technique and the Young inequality. The theory can be applied to second-order dynamic equations regardless of the choice of delta or nabla derivatives.