Dynamic Inequalities On Time Scales, Softcover reprint of the original 1st ed. 2014

This is a monograph devoted to recent research and results on dynamic inequalities on time scales. The study of dynamic inequalities on time scales has been covered extensively in the literature in recent years and has now become a major sub-field in pure and applied mathematics.

In particular, this book will cover recent results on integral inequalities, including Young's inequality, Jensen's inequality, Holder's inequality, Minkowski's inequality, Steffensen's inequality, Hermite-Hadamard inequality and ?ebyšv's inequality.

Opial type inequalities on time scales and their extensions with weighted functions, Lyapunov type inequalities, Halanay type inequalities for dynamic equations on time scales, and Wirtinger type inequalities on time scales and their extensions will also be discussed here in detail.

Provides an analysis of a variety of important integral inequalities

Using Halanay’s inequalities and the properties of exponential function on time scales, this book establishes new conditions that lead to stability for nonlinear dynamic equations

Develops a unified approach to handling multiple dynamic systems simultaneously using the recently-developed theory of dynamic systems on time scales

Includes supplementary material: sn.pub/extras