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A geometric approach to boundary value problems for nonlinear ordinary differential equations with a small parameter

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Analytic Theory of Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 183))

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References

  1. W. Wasow, Solution of nonlinear differential equations with a parameter by asymptotic series, Ann. Math. 69 (1959), 486–509.

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  2. F. Hoppensteadt, Loss of initial conditions in singular perturbation problems, (to appear).

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  3. E. Coddington and N. Levinson, Theory of Ordinary Differential Equations, McGraw-Hill, New York, 1955.

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  4. L. Flatto and N. Levinson, Periodic solutions of singularly perturbed systems, J. Rational Mech. Anal. 4 (1955), 943–950.

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  5. J.J. Levin, The asymptotic behavior of the stable initial manifolds of a system of nonlinear differential equations, Trans. Amer. Math. Soc. 85 (1957), 357–368.

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Authors and Affiliations

  1. New York University, USA

    Frank C. Hoppensteadt

Authors
  1. Frank C. Hoppensteadt
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P. F. Hsieh A. W. J. Stoddart

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© 1971 Springer-Verlag

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Hoppensteadt, F.C. (1971). A geometric approach to boundary value problems for nonlinear ordinary differential equations with a small parameter. In: Hsieh, P.F., Stoddart, A.W.J. (eds) Analytic Theory of Differential Equations. Lecture Notes in Mathematics, vol 183. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0060409

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  • DOI: https://doi.org/10.1007/BFb0060409

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05369-9

  • Online ISBN: 978-3-540-36454-2

  • eBook Packages: Springer Book Archive

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