Lyapunov Inequalities and Applications

Authors: Agarwal, Ravi P., Bohner, Martin, Özbekler, Abdullah

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  • Provides a comprehensive, neatly organized survey on Lyapunov-type inequalities
  • Covers applications of Lyapunov-type inequalities in boundary value problems, systems of differential equations, PDEs, dynamic equations, and more
  • Puts together content of direct relevance to advanced students in many areas of mathematical and physical sciences
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  • ISBN 978-3-030-69029-8
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Hardcover $169.99
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  • ISBN 978-3-030-69028-1
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About this book

This book provides an extensive survey on Lyapunov-type inequalities. It summarizes and puts order into a vast literature available on the subject, and sketches recent developments in this topic. In an elegant and didactic way, this work presents the concepts underlying Lyapunov-type inequalities, covering how they developed and what kind of problems they address.

This survey starts by introducing basic applications of Lyapunov’s inequalities. It then advances towards even-order, odd-order, and higher-order boundary value problems; Lyapunov and Hartman-type inequalities; systems of linear, nonlinear, and quasi-linear differential equations; recent developments in Lyapunov-type inequalities; partial differential equations; linear difference equations; and Lyapunov-type inequalities for linear, half-linear, and nonlinear dynamic equations on time scales, as well as linear Hamiltonian dynamic systems.

Senior undergraduate students and graduate students of mathematics, engineering, and science will benefit most from this book, as well as researchers in the areas of ordinary differential equations, partial differential equations, difference equations, and dynamic equations. Some background in calculus, ordinary and partial differential equations, and difference equations is recommended for full enjoyment of the content.

About the authors

Ravi P. Agarwal is a Professor at the Texas A&M University in Kingsville, USA, and a Distinguished University Professor of Mathematics at the Florida Institute of Technology, Melbourne, FL, USA. 
Martin Bohner is the Curators’ Distinguished Professor of Mathematics and Statistics at Missouri S&T, Rolla, Missouri, USA.
Abdullah Özbekler is a Professor at Atilim University, Department of Mathematics, Ankara, Turkey.

Table of contents (8 chapters)

Table of contents (8 chapters)
  • Lyapunov-Type Inequalities for Second-Order Linear Differential Equations

    Pages 1-54

    Agarwal, Ravi P. (et al.)

  • Lyapunov-Type Inequalities for Higher-Order Linear Differential Equations

    Pages 55-131

    Agarwal, Ravi P. (et al.)

  • Lyapunov-Type Inequalities for Half-Linear Differential Equations

    Pages 133-187

    Agarwal, Ravi P. (et al.)

  • Lyapunov-Type Inequalities for Nonlinear Differential Systems

    Pages 189-292

    Agarwal, Ravi P. (et al.)

  • Lyapunov-Type Inequalities for Fractional Differential Equations

    Pages 293-320

    Agarwal, Ravi P. (et al.)

Buy this book

eBook $129.00
price for Mexico
  • ISBN 978-3-030-69029-8
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for Mexico
  • ISBN 978-3-030-69028-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Lyapunov Inequalities and Applications
Authors
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-69029-8
DOI
10.1007/978-3-030-69029-8
Hardcover ISBN
978-3-030-69028-1
Edition Number
1
Number of Pages
XIII, 607
Number of Illustrations
2 b/w illustrations
Topics