A Nonlinear Generalizations of Dynamic Inequalities on Time Scales

Abstract

Considering the distinctive generalization of the Gronwall-Bellman inequality, in this paper we innovates new dynamical inequalities on time scale. These inequalities will be acted a profound tools for studying qualitative properties such as uniqueness, existence, stability and asymptotic behavior of solutions of dynamic equations on time scale.

Keywords

• dynamic and integral equations, young’s inequality, time scale calculus