The asymptotic behavior of the stable initial manifolds of a system of nonlinear differential equations
Author:
J. J. Levin
Journal:
Trans. Amer. Math. Soc. 85 (1957), 357-368
MSC:
Primary 34.0X
DOI:
https://doi.org/10.1090/S0002-9947-1957-0088613-X
MathSciNet review:
0088613
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References | Similar Articles | Additional Information
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- [2] L. Flatto and N. Levinson, Periodic solutions of singularly perturbed systems, Journal of Rational Mechanics and Analysis vol. 4 (1955) pp. 943-950. MR 0076126 (17:849h)
- [3] K. O. Friedrichs and W. R. Wasow, Singular perturbation of non-linear oscillations, Duke Math. J. vol. 13 (1946) pp. 367-381. MR 0018308 (8:272d)
- [4] I. S. Gradstein, On a class of non-linear differential equations with small coefficients for certain derivatives, Doklady Akademii Nauk SSSR. (N.S.) vol. 64 (1949) pp. 441-443. MR 0029033 (10:536c)
- [5] J. J. Levin, On singular perturbations of nonlinear systems of differential equations related to conditional stability, Duke Math. J. vol. 24 (1956) pp. 609-620. MR 0080809 (18:305f)
- [6] J. J. Levin and N. Levinson, Singular perturbations of non-linear systems of differential equations and an associated boundary layer equation, Journal of Rational Mechanics and Analysis vol. 3 (1954) pp. 247-270. MR 0061241 (15:795f)
- [7] A. Tihonov, On systems of differential equations containing parameters, Rec. Math. (Mat. Sbornik) N.S. vol. 27 (69) (1950) pp. 147-156 MR 0036902 (12:181d)
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1957-0088613-X
Article copyright:
© Copyright 1957
American Mathematical Society