Resumen de On Some Pachpatte-Type Dynamic Inequalities and Their Applications

Mahmoud M. Osman, Samir H. Saker, Douglas R. Anderson

• In this paper, using the comparison theorem on time scales and some elementary algebraic inequalities, we introduce a new class of generalizations of Pachpatte-type inequalities and their extensions on time scales, which provide explicit bounds on unknown functions. Some applications of the main results for specific nonlinear dynamic equations are given at the end of this paper.