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© 1997

Linear Integral Equations

Textbook

Table of contents

  1. Front Matter
    Pages i-ix
  2. Ram P. Kanwal
    Pages 1-6
  3. Ram P. Kanwal
    Pages 25-40
  4. Ram P. Kanwal
    Pages 41-60
  5. Ram P. Kanwal
    Pages 146-180
  6. Ram P. Kanwal
    Pages 181-218
  7. Ram P. Kanwal
    Pages 219-236
  8. Ram P. Kanwal
    Pages 237-271
  9. Ram P. Kanwal
    Pages 272-305
  10. Back Matter
    Pages 306-318

About this book

Introduction

This second edition of Linear Integral Equations continues the emphasis that the first edition placed on applications. Indeed, many more examples have been added throughout the text. Significant new material has been added in Chapters 6 and 8. For instance, in Chapter 8 we have included the solutions of the Cauchy type integral equations on the real line. Also, there is a section on integral equations with a logarithmic kernel. The bibliography at the end of the book has been exteded and brought up to date. I wish to thank Professor B.K. Sachdeva who has checked the revised man­ uscript and has suggested many improvements. Last but not least, I am grateful to the editor and staff of Birkhauser for inviting me to prepare this new edition and for their support in preparing it for publication. RamP Kanwal CHAYfERl Introduction 1.1. Definition An integral equation is an equation in which an unknown function appears under one or more integral signs Naturally, in such an equation there can occur other terms as well. For example, for a ~ s ~ b; a :( t :( b, the equations (1.1.1) f(s) = ib K(s, t)g(t)dt, g(s) = f(s) + ib K(s, t)g(t)dt, (1.1.2) g(s) = ib K(s, t)[g(t)fdt, (1.1.3) where the function g(s) is the unknown function and all the other functions are known, are integral equations. These functions may be complex-valued functions of the real variables s and t.

Keywords

equations ksa mathematics Boundary value problem Integral Integral equation

Authors and affiliations

  1. 1.Department of MathematicsPennsylvania State UniversityUniversity ParkUSA

Bibliographic information

Reviews

"A nice introductory text... Presents the basics of linear integral equations theory in a very comprehensive way... [The] richness of examples and applications makes the book extremely useful for teachers and also researchers."

—Applications of Mathematics

"This second edition of this highly useful book continues the emphasis on applications and presents a variety of techniques with extensive examples...The book is ideal as a text for a beginning graduate course. Its excellent treatment of boundary value problems and an up-to-date bibliography make the book equally useful for researchers in many applied fields." ---MathSciNet