Skip to main content
SpringerLink
Log in
Birkhäuser

Integral and Discrete Inequalities and Their Applications

Volume II: Nonlinear Inequalities

  • Book
  • © 2016

Overview

Authors:
  1. Yuming Qin

    1. Department of Applied Mathematics, Donghua University Department of Applied Mathematics, Shanghai, China

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Collects integral and discrete inequalities established by many different authors

  • Presents some integral and discrete inequalities and their applications in (partial) differential equations, integral equations and discrete equations

  • Introduces Gronwall-Bellman, Henry, Bihari and Ou-Yang inequalities

  • Presents numerous inequalities, which cannot be found in other books

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 249.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages i-xvi
    Download chapter PDF

  2. Nonlinear One-Dimensional Continuous Integral Inequalities

    • Yuming Qin
    Pages 1-232

  3. Nonlinear One-Dimensional Discrete (Difference) Inequalities

    • Yuming Qin
    Pages 233-343

  4. Nonlinear One-Dimensional Discontinuous Integral Inequalities

    • Yuming Qin
    Pages 345-422

  5. Applications of Nonlinear One-Dimensional Continuous, Discontinuous Integral Inequalities and Discrete Inequalities

    • Yuming Qin
    Pages 423-534

  6. Nonlinear Multi-Dimensional Continuous Integral Inequalities

    • Yuming Qin
    Pages 535-764

  7. Nonlinear Multi-Dimensional Discrete (Difference) Inequalities

    • Yuming Qin
    Pages 765-883

  8. Nonlinear Multi-Dimensional Discontinuous Inequalities

    • Yuming Qin
    Pages 885-988

  9. Applications of Nonlinear Multi-Dimensional Continuous, Discontinuous Integral Inequalities and Discrete Inequalities

    • Yuming Qin
    Pages 989-1041

  10. Back Matter

    Pages 1043-1072
    Download chapter PDF
Back to top

Keywords

About this book

This book concentrates on one- and multi-dimensional nonlinear integral and discrete Gronwall-Bellman type inequalities. It complements the author’s book on linear inequalities and serves as an essential tool for researchers interested in differential (ODE and PDE), difference, and integral equations.

The present volume is part 2 of the author’s two-volume work on inequalities.

Integral and discrete inequalities are a very important tool in classical analysis and play a crucial role in establishing the well-posedness of the related equations, i.e., differential, difference and integral equations.

Reviews

“The present research book is a useful exposition of mathematical works done by the authors, scattered in many papers over the past decades, involving subjects of classical analysis such as integral inequalities and discrete inequalities. … This book provides a useful collection and systematic presentation of known and new results on nonlinear inequalities, as well as many applications to differential, difference and integral equations. This book is useful for researchers working on these topics.” (Choonkil Park, zbMATH 1377.26021, 2018)

Authors and Affiliations

  • Department of Applied Mathematics, Donghua University Department of Applied Mathematics, Shanghai, China

    Yuming Qin

Bibliographic Information

Publish with us

Policies and ethics

Back to top

Search

Navigation