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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The problem of eigenvalues in some singular homogeneous Volterra integral equations
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by Ll. G. Chambers PDF
Proc. Amer. Math. Soc. 42 (1974), 140-142 Request permission

Abstract:

It is shown that when the kernel of a homogeneous Volterra integral equation is singular, it is possible for there to be a continuous spectrum of eigenvalues.
References
    V. I. Smirnov, Course in higher mathematics. Vol. IV, 3rd ed., GITTL, Moscow, 1953; English transl., Pergamon Press, Oxford; Addison-Wesley, Reading, Mass., 1964, p. 136. MR 31 #1333. The author has consulted 17 books on integral equations, but has found no reference to this.
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 42 (1974), 140-142
  • MSC: Primary 45D05
  • DOI: https://doi.org/10.1090/S0002-9939-1974-0326322-5
  • MathSciNet review: 0326322