The solution of eigenvalue problems of integral equations by power series
Author:
J. R. M. Radok
Journal:
Quart. Appl. Math. 12 (1955), 413-417
MSC:
Primary 65.0X
DOI:
https://doi.org/10.1090/qam/66768
MathSciNet review:
66768
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Abstract: The characteristic equations and eigensolutions of Fredholm integral equations of the second kind with symmetrical kernels of the homogeneous polynomial type are obtained by use of power series. The method is applied to the particular case of the kernel $\left | {x - y} \right |$ and it is indicated that it may readily be extended to more general types of equations.
A. Heller, J. R. M. Radok, Die exakte Lösung der Integralgleichungen gewisser Schwingungs probleme, Zeitschrift für angewandte Mathematik und Physik, 1954.
H. Bückner, Die praktische Behandlung von Integralgleichungen, Springer Verlag, Berlin, 1952.
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Article copyright:
© Copyright 1955
American Mathematical Society