|Title||GENERAL HIGHER-ORDER DYNAMIC OPIAL INEQUALITIES WITH APPLICATIONS|
|Publication Type||Journal Article|
|Year of Publication||2017|
|Authors||BOHNER MARTIN, OSMAN MAHMOUD, SAKER SAMIR|
|Journal||Dynamic Systems and Applications|
|AMS Subject Classification||26D10, 26D15, 34A40, 34N05, 39A10, 39A13|
In this paper, we present some new generalizations of dynamic Opial-type inequalities of higher order on time scales. The results contain as special cases many of the results currently given in literature. As an application, we apply these inequalities together with a Hardy-type inequality on time scales to establish some lower bounds of the distance between zeros of a solution and/or its derivatives for a fourth-order dynamic equation.