A continuation result for differential equations
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- by T. A. Burton PDF
- Proc. Amer. Math. Soc. 67 (1977), 272-276 Request permission
Abstract:
In this note we show how the Conti-Wintner and Yoshizawa continuation results can be strengthened and combined to produce a flexible continuation theorem. That result is then applied to second and third order equations.References
- Roberto Conti, Limitazioni “in ampiezza” delle soluzioni di un sistema di equazioni differenziali e applicazioni, Boll. Un. Mat. Ital. (3) 11 (1956), 344–349 (Italian). MR 0080829
- Philip Hartman, Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. MR 0171038 V. Lakshmikantham and S. Leela, Differential and integral inequalities, Vol. 1, Academic Press, New York, 1969.
- Aurel Wintner, The non-local existence problem of ordinary differential equations, Amer. J. Math. 67 (1945), 277–284. MR 11858, DOI 10.2307/2371729
- Aurel Wintner, The infinities in the non-local existence problem of ordinary differential equations, Amer. J. Math. 68 (1946), 173–178. MR 14528, DOI 10.2307/2371750
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 67 (1977), 272-276
- MSC: Primary 34A15; Secondary 34D20
- DOI: https://doi.org/10.1090/S0002-9939-1977-0477224-8
- MathSciNet review: 0477224