The asymptotic behavior of the stable initial manifolds of a system of nonlinear differential equations
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- by J. J. Levin PDF
- Trans. Amer. Math. Soc. 85 (1957), 357-368 Request permission
References
- Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1955. MR 0069338
- L. Flatto and N. Levinson, Periodic solutions of singularly perturbed systems, J. Rational Mech. Anal. 4 (1955), 943–950. MR 76126, DOI 10.1512/iumj.1955.4.54036
- K. O. Friedrichs and W. R. Wasow, Singular perturbations of non-linear oscillations, Duke Math. J. 13 (1946), 367–381. MR 18308
- I. S. Gradšteĭn, On a class of nonlinear differential equations with small coefficients for certain derivatives, Doklady Akad. Nauk SSSR (N.S.) 64 (1949), 441–443 (Russian). MR 0029033
- J. J. Levin, Singular perturbations of nonlinear systems of differential equations related to conditional stability, Duke Math. J. 23 (1956), 609–620. MR 80809
- J. J. Levin and Norman Levinson, Singular perturbations of non-linear systems of differential equations and an associated boundary layer equation, J. Rational Mech. Anal. 3 (1954), 247–270. MR 61241, DOI 10.1512/iumj.1954.3.53012
- A. N. Tihonov, On systems of differential equations containing parameters, Mat. Sbornik N.S. 27(69) (1950), 147–156 (Russian). MR 0036902
Additional Information
- © Copyright 1957 American Mathematical Society
- 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