Fredholm Integral Equations of the Second Kind (Separable Kernel)

Stephen M. Zemyan
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Stephen M. Zemyan: Pennsylvania State University Mont Alto, Department of Mathematics

Chapter Chapter 1 in The Classical Theory of Integral Equations, 2012, pp 1-30 from Springer

Abstract: Abstract In this chapter, our purpose is to examine the Fredholm integral equation of the second kind $$\phi (x) = f(x) + \lambda \,\int\limits_{a}^{b}K(x,t)\,\phi (t)\,\mathrm{d}t,$$ where K(x, t) is a separable kernel.

Keywords: Inhomogeneous Fredholm Integral Equation; Separable Kernel; Homogeneous Adjoint Equation; Resolvent Kernel; Fredholm Theorem (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-0-8176-8349-8_1

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