Dynamic Inequalities On Time Scales

Ravi P Agarwal Department of Mathematics Texas A&M University–Kingsville Kingsville, Texas, USA Donal O’Regan School of Mathematics, Statistics and Applied Mathematics National University of Ireland Galway, Ireland Samir H Saker Department of Mathematics Mansoura University Mansoura, Egypt.

• Preliminaries.- Basic Inequalities.- Opial Inequalities.- Lyapunov Inequalities.- Halanay Inequalities.- Wirtinger Inequalities.

“This book represents the state of the art of the current research about dynamic inequalities on time scales … . It serves as a study guide for graduate students in the exciting, rather new, area of dynamic equations on time scales, giving students plenty of ideas how to improve and apply the presented inequalities. … This landmark book should be in the personal library of any researcher interested in inequalities, no matter whether of continuous, discrete, or dynamic type.” (Martin J. Bohner, Mathematical Reviews, April, 2016)“The present book, which contains six chapters, is devoted to the study of some fundamental dynamic inequalities on time scales … . This book is well written, the results are well presented and proved. … This book is very good and is recommended for graduate students and researchers working in any area of pure and applied mathematics.” (James Adedayo Oguntuase, zbMATH 1318.26002, 2015)