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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Invariance results for delay and Volterra equations in fractional order Sobolev spaces
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by F. Kappel and K. Kunisch PDF
Trans. Amer. Math. Soc. 304 (1987), 1-51 Request permission

Abstract:

Invariance of the trajectories of infinite delay- and Volterra-type equations in fractional order Sobolev spaces are derived under minimal assumptions on the problem data. Properties of fractional order Sobolev spaces defined over intervals are summarized.
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 304 (1987), 1-51
  • MSC: Primary 45D05; Secondary 34K15, 45J05, 46E35
  • DOI: https://doi.org/10.1090/S0002-9947-1987-0906804-9
  • MathSciNet review: 906804