Some New Inequalities of Opial's Type on Time Scales

الملخص EN

We will prove some new dynamic inequalities of Opial's type on time scales.

The results not only extend some results in the literature but also improve some of them.

Some continuous and discrete inequalities are derived from the main results as special cases.

The results can be applied on the study of distribution of generalized zeros of half-linear dynamic equations on time scales.