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Upper and lower bounds of the norm of solutions of differential equations


Author: V. Lakshmikantham
Journal: Proc. Amer. Math. Soc. 13 (1962), 615-616
MSC: Primary 34.90
DOI: https://doi.org/10.1090/S0002-9939-1962-0137878-1
MathSciNet review: 0137878
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References [Enhancements On Off] (What's this?)

  • [1] R. Bellman, Stability theory of differential equations, McGraw-Hill, New York, 1953. MR 0061235 (15:794b)
  • [2] I. Bihari, A generalisation of a lemma of Bellman and its application to uniqueness problems of differential equations, Acta Math. Acad. Sci. Hungar. 7 (1956), 81-94. MR 0079154 (18:38c)
  • [3] C. E. Langenhop, Bounds on the norm of a solution of a general differential equation, Proc. Amer. Math. Soc. 11 (1960), 795-799. MR 0121522 (22:12260)
  • [4] V. Lakshmikanth, On the boundedness of solutions of non-linear differential equations, Proc. Amer. Math. Soc. 8 (1957), 1044-1048. MR 0096860 (20:3342)

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DOI: https://doi.org/10.1090/S0002-9939-1962-0137878-1
Article copyright: © Copyright 1962 American Mathematical Society

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