An extension of Osgood's oscillation theorem for a nonlinear differential equation
Author:
Choy-Tak Taam
Journal:
Proc. Amer. Math. Soc. 5 (1954), 705-715
MSC:
Primary 36.0X
DOI:
https://doi.org/10.1090/S0002-9939-1954-0067286-9
MathSciNet review:
0067286
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References | Similar Articles | Additional Information
- [1] William F. Osgood, On a theorem of oscillation, Bull. Amer. Math. Soc. 25 (1919), no. 5, 216–221. MR 1560178, https://doi.org/10.1090/S0002-9904-1919-03175-9
- [2] Choy-Tak Taam, The boundedness of the solutions of a differential equation in the complex domain, Pacific J. Math. 2 (1952), 643–654. MR 52613
- [3] Z. Butlewski, Sur les intégrates d'une équation différentielle du second ordre, Mathematica (Cluj) vol. 12 (1936) pp. 36-48.
- [4] E. J. McShane, Integration, Princeton, 1947.
- [5] Walter Leighton, Bounds for the solution of a second-order linear differential equation, Proc. Nat. Acad. Sci. U.S.A. 35 (1949), 190–191, 422. MR 30071, https://doi.org/10.1073/pnas.35.4.190
- [6] E. L. Ince, Ordinary Differential Equations, Dover Publications, New York, 1944. MR 0010757
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1954-0067286-9
Article copyright:
© Copyright 1954
American Mathematical Society