Equations of the Second Kind

Prem K. Kythe and Pratap Puri
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Prem K. Kythe: University of New Orleans
Pratap Puri: University of New Orleans, Department of Mathematics

Chapter 3 in Computational Methods for Linear Integral Equations, 2002, pp 90-105 from Springer

Abstract: Abstract In this chapter we consider integral equations of the second kind (FK2 and VK2), with both kernel k(x, s) and free term f(x) continuous on the interval [a, b], and assume that λ is a regular value of the kernel. As we know, the solution ø(x) is not unique when λ is an eigenvalue of the kernel. We present some basic facts about these equations in this chapter, and different methods of obtaining numerical solutions of these and other equations are discussed in this and subsequent chapters.

Date: 2002
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DOI: 10.1007/978-1-4612-0101-4_3

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