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Regularity of Difference Equations on Banach Spaces

  • Presents the basic discrete semigroup theory and introduces the discrete cosine and sine operators

  • Addresses applications of the theory of discrete maximal regularity to stability of concrete dynamics

  • Introduces recent advances on theory of difference equations on Banach spaces

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Table of contents (7 chapters)

  1. Front Matter

    Pages i-xv
  2. Discrete Semigroups and Cosine Operators

    • Ravi P. Agarwal, Claudio Cuevas, Carlos Lizama
    Pages 1-17
  3. Maximal Regularity and the Method of Fourier Multipliers

    • Ravi P. Agarwal, Claudio Cuevas, Carlos Lizama
    Pages 19-45
  4. First-Order Linear Difference Equations

    • Ravi P. Agarwal, Claudio Cuevas, Carlos Lizama
    Pages 47-55
  5. First-Order Semilinear Difference Equations

    • Ravi P. Agarwal, Claudio Cuevas, Carlos Lizama
    Pages 57-69
  6. Second-Order Linear Difference Equations

    • Ravi P. Agarwal, Claudio Cuevas, Carlos Lizama
    Pages 71-97
  7. Second-Order Semilinear Difference Equations

    • Ravi P. Agarwal, Claudio Cuevas, Carlos Lizama
    Pages 99-118
  8. Applications

    • Ravi P. Agarwal, Claudio Cuevas, Carlos Lizama
    Pages 119-197
  9. Back Matter

    Pages 199-208

About this book

This work introduces readers to the topic of maximal regularity for difference equations. The authors systematically present the method of maximal regularity, outlining basic linear difference equations along with relevant results. They address recent advances in the field, as well as basic semi group and cosine operator theories in the discrete setting. The authors also identify some open problems that readers may wish to take up for further research. This book is intended for graduate students and researchers in the area of difference equations, particularly those with advance knowledge of and interest in functional analysis.

Reviews

From the book reviews:

“This monograph primarily deals with the maximal regularity problem for different classes of difference equations on Banach spaces. … For researchers in this field, this book will serve as an important reference material. It contains many interesting and important applications which would motivate a researcher. It provides a good deal of references on the topic. The presentation of the materials is lucid and systematic which will definitely impress the reader.” (Narahari Parhi, zbMATH 1306.39001, 2015)

Authors and Affiliations

  • Department of Mathematics, Texas A&M University, Kingsville, USA

    Ravi P. Agarwal

  • Departamento de Matemática, Universidade Federal de Pernambuco, Recife, Brazil

    Claudio Cuevas

  • Departamento de Matematica, Universidad de Santiago de Chile, Santiago, Chile

    Carlos Lizama

Bibliographic Information

  • Book Title: Regularity of Difference Equations on Banach Spaces

  • Authors: Ravi P. Agarwal, Claudio Cuevas, Carlos Lizama

  • DOI: https://doi.org/10.1007/978-3-319-06447-5

  • Publisher: Springer Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2014

  • Hardcover ISBN: 978-3-319-06446-8Published: 01 July 2014

  • Softcover ISBN: 978-3-319-35518-4Published: 10 September 2016

  • eBook ISBN: 978-3-319-06447-5Published: 13 June 2014

  • Edition Number: 1

  • Number of Pages: XV, 208

  • Topics: Difference and Functional Equations, Discrete Mathematics

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 54.99
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