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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.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

On a converse result for Perron’s theorem for asymptotic stability for nonlinear differential equations
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by George Seifert PDF
Proc. Amer. Math. Soc. 99 (1987), 733-736 Request permission

Abstract:

Two fairly simple proofs of a converse of Perron’s classical theorem for the exponential asymptotic stability of the trivial solution of a nonlinear system of ordinary differential equations are given.
References
  • Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1955. MR 0069338
  • Taro Yoshizawa, Stability theory by Liapunov’s second method, Publications of the Mathematical Society of Japan, vol. 9, Mathematical Society of Japan, Tokyo, 1966. MR 0208086
  • H. A. Antosiewicz, A survey of Lyapunov’s second method, Contributions to the theory of nonlinear oscillations, Vol. IV, Annals of Mathematics Studies, no. 41, Princeton University Press, Princeton, N.J., 1958, pp. 141–166. MR 0102643
  • George R. Sell, The structure of a flow in the vicinity of an almost periodic motion, J. Differential Equations 27 (1978), no. 3, 359–393. MR 492608, DOI 10.1016/0022-0396(78)90058-X
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Additional Information
  • © Copyright 1987 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 99 (1987), 733-736
  • MSC: Primary 34D20; Secondary 34D05
  • DOI: https://doi.org/10.1090/S0002-9939-1987-0877048-X
  • MathSciNet review: 877048