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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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Characteristic multipliers for some periodic differential equations.
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by T. G. Proctor PDF
Proc. Amer. Math. Soc. 22 (1969), 503-508 Request permission
References
  • L. Ja. Adrianova, The reducibility of systems of $n$ linear differential equations with quasi-periodic coefficients, Vestnik Leningrad. Univ. 17 (1962), no. 7, 14–24 (Russian, with English summary). MR 0139779
  • Nikolay P. Erugin, Linear systems of ordinary differential equations with periodic and quasi-periodic coefficients, With revisions by the author for the English edition, Mathematics in Science and Engineering, Vol. 28, Academic Press, New York-London, 1966. Translated from the Russian by Scripta Technica, Inc; Translation editor, Richard Bellman. MR 0206356
  • A. E. Gel′man, The reducibility of a certain class of simultaneous differential equations containing quasiperiodic coefficients, Dokl. Akad. Nauk SSSR (N.S.) 116 (1957), 535–537 (Russian). MR 0094501
  • Michael Golomb, Solution of certain nonautonomous differential systems by series of exponential functions, Illinois J. Math. 3 (1959), 45–65. MR 104874
  • Michael Golomb, Expansion and boundedness theorems for solutions of linear differential systems with periodic or almost periodic coefficients, Arch. Rational Mech. Anal. 2 (1958), 284–308. MR 104873, DOI 10.1007/BF00277932
  • Jack K. Hale, Oscillations in nonlinear systems, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1963. MR 0150402
  • Philip Hartman, Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. MR 0171038
  • I. G. Malkin, Theory of stability of motion, AEC Translation 3352, U. S. Department of Commerce, Washington, 1952.
  • Michael Golomb, Solution of certain nonautonomous differential systems by series of exponential functions, Illinois J. Math. 3 (1959), 45–65. MR 104874
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Additional Information
  • © Copyright 1969 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 22 (1969), 503-508
  • MSC: Primary 34.45
  • DOI: https://doi.org/10.1090/S0002-9939-1969-0245909-X
  • MathSciNet review: 0245909