Dynamic Inequalities On Time Scales

  • Ravi Agarwal
  • Donal O'Regan
  • Samir Saker

Table of contents

  1. Front Matter
    Pages i-x
  2. Ravi Agarwal, Donal O’Regan, Samir Saker
    Pages 1-21
  3. Ravi Agarwal, Donal O’Regan, Samir Saker
    Pages 23-91
  4. Ravi Agarwal, Donal O’Regan, Samir Saker
    Pages 93-174
  5. Ravi Agarwal, Donal O’Regan, Samir Saker
    Pages 175-214
  6. Ravi Agarwal, Donal O’Regan, Samir Saker
    Pages 215-228
  7. Ravi Agarwal, Donal O’Regan, Samir Saker
    Pages 229-241
  8. Back Matter
    Pages 243-256

About this book

Introduction

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 Čebyšv'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.

Keywords

dynamic systems integral inequalities linear equations measure chain time scale

Authors and affiliations

  • Ravi Agarwal
    • 1
  • Donal O'Regan
    • 2
  • Samir Saker
    • 3
  1. 1.Department of MathematicsTexas A&M University KingsvilleKingsvilleUSA
  2. 2.School of Mathematics, Statistics, and ANational University of IrelandGalwayIreland
  3. 3.Department of MathematicsMansoura UniversityMansouraEgypt

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-11002-8
  • Copyright Information Springer International Publishing Switzerland 2014
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-11001-1
  • Online ISBN 978-3-319-11002-8
  • About this book