In this article, we establish some new oscillation criteria and give sufficient conditions to ensure that all solutions of nonlinear neutral dynamic equation of the form (r(t)((y(t) + p(t)y(tau(t)))(Delta))(gamma))(Delta) ...

In this paper we obtain some weighted Cebysev-Ostrowski type integral inequalities on time scales involving functions whose first derivatives belong to L-p (a, b) (1 <= p <= infinity). We also give some other interesting ...

In this paper we first derive a weighted Montgomery identity on time scales and then establish weighted Ostrowski, trapezoid and Gruss type inequalities on time scales, respectively. These results not only provide a ...

The purpose of this article is to give oscillation criteria for the third-order neutral dynamic equation (r(2)(t)[(r(1)(t)[y(t) + p(t)y(tau (t))](Delta))(Delta)](gamma))(Delta) + f (t, y(delta(t))) = 0, where gamma >= 1 ...