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Summary: THE NUMERICAL SOLUTION OF
INTEGRAL EQUATIONS OF THE
SECOND KIND 1
Kendall E. Atkinson
Department of Mathematics
University of Iowa
Iowa City, Iowa 52242
USA
July 5, 1996
1 c 1993-1996 by Kendall E. Atkinson
Contents
PREFACE 7
1 A BRIEF DISCUSSION OF INTEGRAL EQUATIONS 11
1.1 TYPES OF INTEGRAL EQUATIONS . . . . . . . . . . . . . . 11
1.2 COMPACT INTEGRAL OPERATORS . . . . . . . . . . . . . 15
1.2.1 Compact integral operators on C(D) . . . . . . . . . . . 16
1.2.2 Properties of compact operators . . . . . . . . . . . . . . 17
1.2.3 Integral operators on L2
(a b) . . . . . . . . . . . . . . . 20
1.3 THE FREDHOLM ALTERNATIVE
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