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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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Transformation of a class of nonselfadjoint eigenvalue problems
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by D. R. K. S. Rao and K. N. Murty PDF
Proc. Amer. Math. Soc. 81 (1981), 287-292 Request permission

Abstract:

A class of non-self-adjoint boundary value problems possessing countably many real eigenvalues can be made self-adjoint by means of a nonsingular transformation. A set of criteria for such problems to be self-adjoint is derived.
References
  • Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1955. MR 0069338
    • E. L. Ince, Ordinary differential equations, Longmans, Gree and Co., Ltd., London, 1927. F. R. Gantmacher, The theory of matrices. I, Chelsea, New York, 1959.
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Additional Information
  • © Copyright 1981 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 81 (1981), 287-292
  • MSC: Primary 34B05; Secondary 34A30
  • DOI: https://doi.org/10.1090/S0002-9939-1981-0593473-3
  • MathSciNet review: 593473