Linear and Nonlinear Integral Equations

Methods and Applications

  • Abdul-Majid Wazwaz

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Linear Integral Equations

    1. Front Matter
      Pages 1-1
    2. Abdul-Majid Wazwaz
      Pages 3-31
    3. Abdul-Majid Wazwaz
      Pages 33-63
    4. Abdul-Majid Wazwaz
      Pages 65-118
    5. Abdul-Majid Wazwaz
      Pages 119-173
    6. Abdul-Majid Wazwaz
      Pages 175-212
    7. Abdul-Majid Wazwaz
      Pages 213-235
    8. Abdul-Majid Wazwaz
      Pages 261-283
    9. Abdul-Majid Wazwaz
      Pages 285-309
    10. Abdul-Majid Wazwaz
      Pages 311-339
    11. Abdul-Majid Wazwaz
      Pages 341-364
    12. Abdul-Majid Wazwaz
      Pages 365-383
  3. Nonlinear Integral Equations

    1. Front Matter
      Pages 385-385
    2. Abdul-Majid Wazwaz
      Pages 387-423
    3. Abdul-Majid Wazwaz
      Pages 425-465
    4. Abdul-Majid Wazwaz
      Pages 467-515
    5. Abdul-Majid Wazwaz
      Pages 517-546
    6. Abdul-Majid Wazwaz
      Pages 547-567

About this book

Introduction

Linear and Nonlinear Integral Equations: Methods and Applications is a self-contained book divided into two parts. Part I offers a comprehensive and systematic treatment of linear integral equations of the first and second kinds. The text brings together newly developed methods to reinforce and complement the existing procedures for solving linear integral equations. The Volterra integral and integro-differential equations, the Fredholm integral and integro-differential equations, the Volterra-Fredholm integral equations, singular and weakly singular integral equations, and systems of these equations, are handled in this part by using many different computational schemes. Selected worked-through examples and exercises will guide readers through the text. Part II provides an extensive exposition on the nonlinear integral equations and their varied applications, presenting in an accessible manner a systematic treatment of ill-posed Fredholm problems, bifurcation points, and singular points. Selected applications are also investigated by using the powerful Padé approximants.
 
This book is intended for scholars and researchers in the fields of physics, applied mathematics and engineering. It can also be used as a text for advanced undergraduate and  graduate students in applied mathematics, science and engineering, and related fields.
 
Dr. Abdul-Majid Wazwaz is a Professor of Mathematics at Saint Xavier University in Chicago, Illinois, USA.

 

 

Keywords

linear and nonlinear Fredholm equations linear and nonlinear Volterra equations linear and nonlinear singular equations systems of integral equations

Authors and affiliations

  • Abdul-Majid Wazwaz
    • 1
  1. 1.Saint Xavier UniversityChicagoUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-21449-3
  • Copyright Information Higher Education Press, Beijing and Springer-Verlag GmbH Berlin Heidelberg 2011
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-21448-6
  • Online ISBN 978-3-642-21449-3
  • About this book