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Equations of the Second Kind

In: Computational Methods for Linear Integral Equations

Author

Listed:
  • Prem K. Kythe

    (University of New Orleans)

  • Pratap Puri

    (University of New Orleans, Department of Mathematics)

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.

Suggested Citation

  • Prem K. Kythe & Pratap Puri, 2002. "Equations of the Second Kind," Springer Books, in: Computational Methods for Linear Integral Equations, chapter 3, pages 90-105, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4612-0101-4_3
    DOI: 10.1007/978-1-4612-0101-4_3
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