# Linear Integral Equations

Textbook

1. Front Matter
Pages i-ix
2. Ram P. Kanwal
Pages 1-6
3. Ram P. Kanwal
Pages 7-24
4. Ram P. Kanwal
Pages 25-40
5. Ram P. Kanwal
Pages 41-60
6. Ram P. Kanwal
Pages 61-96
7. Ram P. Kanwal
Pages 97-145
8. Ram P. Kanwal
Pages 146-180
9. Ram P. Kanwal
Pages 181-218
10. Ram P. Kanwal
Pages 219-236
11. Ram P. Kanwal
Pages 237-271
12. Ram P. Kanwal
Pages 272-305
13. Back Matter
Pages 306-318

### 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

• Book Title Linear Integral Equations
• Authors Ram P. Kanwal
• DOI https://doi.org/10.1007/978-1-4612-0765-8
• Copyright Information Birkhäuser Boston 1997
• Publisher Name Birkhäuser, Boston, MA
• eBook Packages
• Hardcover ISBN 978-0-8176-3940-2
• Softcover ISBN 978-1-4612-6893-2
• eBook ISBN 978-1-4612-0765-8
• Edition Number 2
• Number of Pages IX, 318
• Number of Illustrations 0 b/w illustrations, 0 illustrations in colour