Fredholm Integral Equations of the Second Kind (General Kernel)

  • Stephen M. Zemyan


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.


Integral Equation Meromorphic Function Fredholm Integral Equation Free Term Closed Disk 
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© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Stephen M. Zemyan
    • 1
  1. 1.Department of MathematicsPennsylvania State University Mont AltoMont AltoUSA

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