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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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The functional-differential equation $y’\left ( x \right ) = ay\left ( {\lambda x} \right ) + by\left ( x \right )$
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by Tosio Kate and J. B. McLeod PDF
Bull. Amer. Math. Soc. 77 (1971), 891-937
References
    1. L. Fox, D. F. Mayers, J. R. Ockendon and A. B. Tayler, On a functional differential equation, J. Inst. Math. Appl. (to appear).
  • Kurt Mahler, On a special functional equation, J. London Math. Soc. 15 (1940), 115–123. MR 2921, DOI 10.1112/jlms/s1-15.2.115
  • Proceedings United States-Japan Seminar on Differential and Functional Equations, W. A. Benjamin, Inc., New York-Amsterdam, 1967. Held at the University of Minnesota, Minneapolis, Minn., June 26-30, 1967; Edited by William A. Harris, Jr. and Yasutaka Sibuya. MR 0222363
  • N. G. de Bruijn, The asymptotically periodic behavior of the solutions of some linear functional equations, Amer. J. Math. 71 (1949), 313–330. MR 29065, DOI 10.2307/2372246
  • N. G. de Bruijn, On some linear functional equations, Publ. Math. Debrecen 1 (1950), 129–134. MR 36427
  • 6. N. G. de Bruijn, The difference-differential equation F’(x) = e. I, II, Nederl. Akad. Wetensch. Proc. Ser. A 56 = Indag. Math. I5 (1953), 449-464. MR 15, 629. 7. E. W. Bowen and G. R. Morris, private communication.
  • Paul O. Frederickson, Global solutions to certain nonlinear functional differential equations, J. Math. Anal. Appl. 33 (1971), 355–358. MR 268483, DOI 10.1016/0022-247X(71)90061-8
  • 9. P. O. Frederickson, Analytic solutions for certain functional-differential equations of advanced type (to appear).
  • Richard Bellman and Kenneth L. Cooke, Differential-difference equations, Academic Press, New York-London, 1963. MR 0147745
  • Laurent Schwartz, Théorie des distributions, Publications de l’Institut de Mathématique de l’Université de Strasbourg, IX-X, Hermann, Paris, 1966 (French). Nouvelle édition, entiérement corrigée, refondue et augmentée. MR 0209834
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Additional Information
  • Journal: Bull. Amer. Math. Soc. 77 (1971), 891-937
  • MSC (1970): Primary 34J10, 34J99
  • DOI: https://doi.org/10.1090/S0002-9904-1971-12805-7
  • MathSciNet review: 0283338