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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
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Linear Integral Equations (Paperback, 2nd ed. 1997)
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Linear Integral Equations (Paperback, 2nd ed. 1997)
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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.
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