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The problem of eigenvalues in some singular homogeneous Volterra integral equations

Author: Ll. G. Chambers
Journal: Proc. Amer. Math. Soc. 42 (1974), 140-142
MSC: Primary 45D05
MathSciNet review: 0326322
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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 [Enhancements On Off] (What's this?)

  • [1] 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.
  • [2] The author has consulted 17 books on integral equations, but has found no reference to this.

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Article copyright: © Copyright 1974 American Mathematical Society

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