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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The nonexistence of maximum solutions of Volterra integral equations.
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by H. E. Gollwitzer and R. A. Hager
Proc. Amer. Math. Soc. 26 (1970), 301-304
DOI: https://doi.org/10.1090/S0002-9939-1970-0285871-5
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Abstract:

It has been claimed for some time that the scalar Volterra integral equation of the second kind has a maximum solution under rather mild hypotheses. We present and discuss a counterexample to this claim.
References
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Bibliographic Information
  • © Copyright 1970 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 26 (1970), 301-304
  • MSC: Primary 45.13
  • DOI: https://doi.org/10.1090/S0002-9939-1970-0285871-5
  • MathSciNet review: 0285871