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Proceedings of the American Mathematical Society

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On the boundedness of solutions of nonlinear differential equations.


Author: V. Lakshmikanth
Journal: Proc. Amer. Math. Soc. 8 (1957), 1044-1048
MSC: Primary 34.00
DOI: https://doi.org/10.1090/S0002-9939-1957-0096860-1
MathSciNet review: 0096860
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References [Enhancements On Off] (What's this?)

  • [1] E. Kamke, Differentialgleichungen reeller Funktionen, Leipzig, 1930.
  • [2] Richard Bellman, The boundedness of solutions of linear differential equations, Duke Math. J. 14 (1947), 83–97. MR 0021189
  • [3] Aurel Wintner, Asymptotic equilibria, Amer. J. Math. 68 (1946), 125–132. MR 0014529, https://doi.org/10.2307/2371745
  • [4] -, An abelian lemma concerning asymptotic equilibria, ibid.
  • [5] B. Viswanatham, On the asymptotic behaviour of solutions of non-linear differential equations. Proceedings of the Indian Academy of Sciences vol. 36 (1952).

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DOI: https://doi.org/10.1090/S0002-9939-1957-0096860-1
Article copyright: © Copyright 1957 American Mathematical Society