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Dynamic Inequalities On Time Scales

Authors: Agarwal, Ravi, O'Regan, Donal, Saker, Samir

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  • 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
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eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-319-11002-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-3-319-11001-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: August 31, 2016
  • ISBN 978-3-319-36404-9
  • Free shipping for individuals worldwide
About this book

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.

About the authors

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.

Reviews

“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)


Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-319-11002-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $109.99
price for USA in USD
  • ISBN 978-3-319-11001-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $109.00
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at +1-800-777-4643, Latin America please contact us at +1-212-460-1500 (24 hours a day, 7 days a week). Pre-ordered printed titles are excluded from promotions.
  • Due: August 31, 2016
  • ISBN 978-3-319-36404-9
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Dynamic Inequalities On Time Scales
Authors
Copyright
2014
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-11002-8
DOI
10.1007/978-3-319-11002-8
Hardcover ISBN
978-3-319-11001-1
Softcover ISBN
978-3-319-36404-9
Edition Number
1
Number of Pages
X, 256
Topics