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.
- 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
P. Diliberto, and G. Hufford. Perturbation theorems for non-linear ordinary differential equations, Ann. Math. Studies, Contributions to the Theory of Nonlinear Oscillations, ed. by S. Lefschetz. Princeton University Press, Vol. 3, 1956, pp. 207–236
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Article copyright:
© Copyright 1962
American Mathematical Society
