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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 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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Smoothing derivatives of functions and applications
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by F. Wesley Wilson
Trans. Amer. Math. Soc. 139 (1969), 413-428
DOI: https://doi.org/10.1090/S0002-9947-1969-0251747-9
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References
  • Morris W. Hirsch, On combinatorial submanifolds of differentiable manifolds, Comment. Math. Helv. 36 (1961), 103–111. MR 133833, DOI 10.1007/BF02566895
    • L. Hörmander, Linear partial differential operators, Academic Press, New York, 1963. J. Kurzweil, On the inversion of Lyapunov’s second theorem on stability of motion, Czechoslovak Math. J. 81 (1956), 217-259, 455-484; English transl., Amer. Math. Soc. Transl. (2) 24 (1963), 19-77.
  • Solomon Lefschetz, Differential equations: Geometric theory, 2nd ed., Pure and Applied Mathematics, Vol. VI, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1963. MR 0153903
  • José L. Massera, On the existence of Lyapunov functions, Bol. Fac. Ingen. Agrimens. Montevideo 7, 125–138. Also published as Fac. Ingen. Montevideo Publ. Inst. Mat. Estadíst 3 (1959/1960), 111–124. MR 0144027
  • José L. Massera, Contributions to stability theory, Ann. of Math. (2) 64 (1956), 182–206. MR 79179, DOI 10.2307/1969955
  • V. V. Nemytskii and V. V. Stepanov, Qualitative theory of differential equations, Princeton Mathematical Series, No. 22, Princeton University Press, Princeton, N.J., 1960. MR 0121520
  • Hans Rademacher, Über partielle und totale differenzierbarkeit von Funktionen mehrerer Variabeln und über die Transformation der Doppelintegrale, Math. Ann. 79 (1919), no. 4, 340–359 (German). MR 1511935, DOI 10.1007/BF01498415
  • Stephen Smale, On gradient dynamical systems, Ann. of Math. (2) 74 (1961), 199–206. MR 133139, DOI 10.2307/1970311
  • F. Wesley Wilson Jr., Implicit submanifolds, J. Math. Mech. 18 (1968/1969), 229–236. MR 0229252, DOI 10.1512/iumj.1969.18.18022
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Bibliographic Information
  • © Copyright 1969 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 139 (1969), 413-428
  • MSC: Primary 57.50
  • DOI: https://doi.org/10.1090/S0002-9947-1969-0251747-9
  • MathSciNet review: 0251747