Upper and lower bounds of the norm of solutions of differential equations
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- by V. Lakshmikantham
- Proc. Amer. Math. Soc. 13 (1962), 615-616
- DOI: https://doi.org/10.1090/S0002-9939-1962-0137878-1
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References
- Richard Bellman, Stability theory of differential equations, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1953. MR 0061235
- I. Bihari, A generalization of a lemma of Bellman and its application to uniqueness problems of differential equations, Acta Math. Acad. Sci. Hungar. 7 (1956), 81–94 (English, with Russian summary). MR 79154, DOI 10.1007/BF02022967
- C. E. Langenhop, Bounds on the norm of a solution of a general differential equation, Proc. Amer. Math. Soc. 11 (1960), 795–799. MR 121522, DOI 10.1090/S0002-9939-1960-0121522-1
- V. Lakshmikanth, On the boundedness of solutions of nonlinear differential equations, Proc. Amer. Math. Soc. 8 (1957), 1044–1048. MR 96860, DOI 10.1090/S0002-9939-1957-0096860-1
Bibliographic Information
- © Copyright 1962 American Mathematical Society
- 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