Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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



Asymptotic stability and instability criteria for some elastic systems by Liapunov's direct method

Author: R. H. Plaut
Journal: Quart. Appl. Math. 29 (1972), 535-540
MSC: Primary 73.35
DOI: https://doi.org/10.1090/qam/421248
MathSciNet review: 421248
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References [Enhancements On Off] (What's this?)

  • [1] V. I. Zubov, Methods of A. M. Liapunov and their application, English translation, P. Noordhoff Ltd., Groningen, 1964 MR 0179428
  • [2] A. A. Movchan, The direct method of Liapunov in stability problems of elastic systems, Prikl. Mat. i Mekh. 23, 483-493 (1959); English translation, Appl. Math. and Mech. 3, 686-700 (1959)
  • [3] R. H. Plaut, A study of the dynamic stability of continuous elastic systems by Liapunov's direct method, Rept. No. AM-67-3, College of Engineering, University of California, Berkeley, May 1967
  • [4] J. K. Hale, Dynamical systems and stability, J. Math. Anal. Appl. 26, 39-59 (1969) MR 0244582
  • [5] M. Slemrod, Asymptotic behavior of a class of abstract dynamical systems, J. Diff. Eqs. 7, 584-600 (1970) MR 0259291

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DOI: https://doi.org/10.1090/qam/421248
Article copyright: © Copyright 1972 American Mathematical Society

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