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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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A study of almost-everywhere singleton-valued Filippovs
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by Daniel C. Biles and John S. Spraker PDF
Proc. Amer. Math. Soc. 114 (1992), 469-473 Request permission

Abstract:

Filippov solutions of $x’(t) = f(t,x(t))$ are defined in terms of a certain set-valued function called the Filippov of $f$. Under some fairly general assumptions, we answer the following question: The Filippovs of $f$ and $g$ are equal if and only if $f$ and $g$ relate in what way?
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Additional Information
  • © Copyright 1992 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 114 (1992), 469-473
  • MSC: Primary 34A60
  • DOI: https://doi.org/10.1090/S0002-9939-1992-1074749-X
  • MathSciNet review: 1074749