Skip to Main Content

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.

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.

 

Asymptotic behavior of solutions of nonlinear differential equations
HTML articles powered by AMS MathViewer

by Richard K. Miller PDF
Trans. Amer. Math. Soc. 115 (1965), 400-416 Request permission
References
  • Luigi Amerio, Soluzioni quasi-periodiche, o limitate, di sistemi diferenziali non lineari quasi-periodici, o limitati, Ann. Mat. Pura Appl. (4) 39 (1955), 97–119 (Italian). MR 79687, DOI 10.1007/BF02410765
  • E. A. Barbašin and N. N. Krasovskiĭ, On stability of motion in the large, Doklady Akad. Nauk SSSR (N.S.) 86 (1952), 453-456 (Russian). MR 0052616
  • A. S. Besicovitch, Almost periodic functions, Dover Publications, Inc., New York, 1955. MR 0068029
  • Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1955. MR 0069338
  • Nelson Dunford and Jacob T. Schwartz, Linear operators. Part I, Wiley Classics Library, John Wiley & Sons, Inc., New York, 1988. General theory; With the assistance of William G. Bade and Robert G. Bartle; Reprint of the 1958 original; A Wiley-Interscience Publication. MR 1009162
  • N. N. Krasovskiĭ, Stability of motion. Applications of Lyapunov’s second method to differential systems and equations with delay, Stanford University Press, Stanford, Calif., 1963. Translated by J. L. Brenner. MR 0147744
    • J. P. LaSalle and S. Lefschetz, Stability by Liapunov’s direct method with applications, Academic Press, New York, 1961.
  • J. P. LaSalle, Asymptotic stability criteria, Proc. Sympos. Appl. Math., Vol. XIII, American Mathematical Society, Providence, R.I., 1962, pp. 299–307. MR 0136842
  • J. J. Levin and J. A. Nohel, Global asymptotic stability for nonlinear systems of differential equations and applications to reactor dynamics, Arch. Rational Mech. Anal. 5 (1960), 194–211 (1960). MR 119524, DOI 10.1007/BF00252903
  • Taro Yoshizawa, Asymptotic behavior of solutions of a system of differential equations, Contributions to Differential Equations 1 (1963), 371–387. MR 148991
    • —, Asymptotic behavior of a perturbed system, pp. 80-85, International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics, Academic Press, New York, 1963.
  • J. J. Levin, On the global asymptotic behavior of nonlinear systems of differential equations, Arch. Rational Mech. Anal. 6 (1960), 65–74 (1960). MR 119525, DOI 10.1007/BF00276154
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 34.50
  • Retrieve articles in all journals with MSC: 34.50
Additional Information
  • © Copyright 1965 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 115 (1965), 400-416
  • MSC: Primary 34.50
  • DOI: https://doi.org/10.1090/S0002-9947-1965-0199502-9
  • MathSciNet review: 0199502