Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

Some nonlocal results for weakly nonlinear dynamical systems


Authors: P. R. Sethna and T. J. Moran
Journal: Quart. Appl. Math. 26 (1968), 175-185
MSC: Primary 34.51
DOI: https://doi.org/10.1090/qam/240414
MathSciNet review: 240414
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References [Enhancements On Off] (What's this?)

  • [1] J. K. Hale, Oscillations in nonlinear systems, McGraw-Hill, New York, 1963 MR 0150402
  • [2] E. A. Coddington and N. Levinson, Theory of ordinary differential equations, McGraw-Hill, New York, 1955, Chaps. 13, 14 MR 0069338
  • [3] N. M. Bogoliuboff and Yu. A. Mitropolskiy, Asymptotic methods in the theory of nonlinear oscillations, Gordon and Breach, New York, 1962
  • [4] Reference [3, Chap. 6]
  • [5] J. LaSalle and S. Lefschetz, Stability by Liapunov's second method, Academic Press, New York, 1961, p. 59 MR 0132876
  • [6] W. S. Loud and P. R. Sethna, Some explicit estimates for domains of attraction, J. Differential Eqs. (2) 2, 158-172 (1966) MR 0190471
  • [7] Reference [3], Chap. 4
  • [8] P. R. Sethna, Coupling in certain classes of weakly nonlinear vibrating systems, in International Symposium on Nonlinear Differential Equations and Nonlinear Mechanics, J. P. LaSalle and S. Lefschetz, eds., Academic Press, New York, 1963 MR 0152170
  • [9] Yu. A. Mitropolskiy, Problems of the asymptotic theory of nonstationary vibrations, Daniel Davey and Co., New York, 1965, Chaps. 4, 6
  • [10] P. R. Sethna, Domains of attraction of some quasi-periodic solvtions, to be published in Proceedings of the International Symposium on Differential Equations and Dynamical Systems, Mayaguez, Puerto Rico December 1965

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DOI: https://doi.org/10.1090/qam/240414
Article copyright: © Copyright 1968 American Mathematical Society

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