Eigenvalue Problems

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 2 in Computational Methods for Linear Integral Equations, 2002, pp 44-89 from Springer

Abstract: Abstract The number µ that appears in an FK2, (µI — K)Φ = f, a ≤ x ≤ b, is called the characteristic value of the kernel k(x,s) or of the integral equation itself if there exists nontrivial solutions of the corresponding homogeneous equation (see §1.5). The number λ = l/µ is called an eigenvalue* of the kernel or of the integral equation. The nontrivial solutions are themselves called the eigenfunctions of the integral equation corresponding to the eigenvalues A, and their pair is known as the eigenpair of the integral equation.

Keywords: Integral Equation; Eigenvalue Problem; Computational Detail; Infinite System; Finite Rank (search for similar items in EconPapers)
Date: 2002
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DOI: 10.1007/978-1-4612-0101-4_2

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