# Fredholm Integral Equations of the Second Kind (General Kernel)

Chapter

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## Abstract

In Chap. 1, we conducted a thorough examination of the Fredholm integral equation of the second kind for an arbitrary complex parameter λ, assuming that the free term *f*(*x*) is complex-valued and continuous on the interval [*a*, *b*] and that the kernel *K*(*x*, *t*) is complex-valued, continuous, and separable on the square *Q*(*a*, *b*) = { (*x*, *t*): [*a*, *b*] ×[*a*, *b*]}. We stated the four Fredholm theorems and the Fredholm Alternative Theorem which provide for the construction of all possible solutions to the equation under these assumptions.

## Keywords

Integral Equation Meromorphic Function Fredholm Integral Equation Free Term Closed Disk
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## Copyright information

© Springer Science+Business Media, LLC 2012