Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



An extension of Poincaré's continuity theorem

Author: William R. Haseltine
Journal: Quart. Appl. Math. 20 (1962), 185-188
MSC: Primary 34.45
DOI: https://doi.org/10.1090/qam/147704
MathSciNet review: 147704
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Abstract: A theorem is derived which is useful in establishing the existence of periodic solutions of systems of nonlinear ordinary differential equations involving a small parameter in certain cases where first-order methods break down.

References [Enhancements On Off] (What's this?)

  • [S] S. P. Diliberto and G. Hufford, Perturbation theorems for non-linear ordinary differential equations, Contributions to the theory of nonlinear oscillations, vol. 3, Annals of Mathematics Studies, no. 36, Princeton University Press, Princeton, N. J., 1956, pp. 207–236. MR 0083071

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DOI: https://doi.org/10.1090/qam/147704
Article copyright: © Copyright 1962 American Mathematical Society

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