Skip to main content
SpringerLink
Log in

On asymptotically autonomous differential equations

  • Published:
Mathematical systems theory Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. H. A. Antosiewicz, A survey of Liapunov's second method.Contributions to the Theory of Nonlinear Oscillations, Vol. 4, pp. 141–166. Annals of Mathematics Studies, No. 41, Princeton Univ. Press, Princeton, N. J., 1958.

    Google Scholar 

  2. J. Auslander, Generalized recurrence in dynamical systems.Contributions to Differential Equations 3 (1964), 65–74.

    Google Scholar 

  3. N. P. Bhatia andG. P. Szegö,Dynamical systems, stability theory and its applications. Lecture Notes in Mathematics, Springer-Verlag (to appear).

  4. E. A. Coddington andN. Levinson,Theory of Ordinary Differential Equations. McGraw-Hill, New York, 1955.

    Google Scholar 

  5. J. P. Lasalle, An invariance principle in the theory of stability (to appear).

  6. J. P. Lasalle andS. Lefschetz,Stability by Liapunov's Direct Method, with Applications. Academic Press, New York, 1961.

    Google Scholar 

  7. L. Markus, Asymptotically autonomous differential systems,Contributions to the Theory of Nonlinear Oscillations, Vol. 3, pp. 17–29. Annals of Mathematics Studies, No. 36, Princeton Univ. Press. Princeton, N. J., 1956.

    Google Scholar 

  8. Z. Opial, Sur la dépendance des solutions d'un système d'équations différentielles de leurs seconds membres. Application aux systèmes presque autonomes.Ann. Polon. Math. 8 (1960), 75–89.

    Google Scholar 

  9. A. Strauss andJ. A. Yorke, Perturbation theorems for ordinary differential equations,J. Differential Equations 3 (1967), 15–30.

    Google Scholar 

  10. T. Ura, Sur les courbes définies par les équations différentielles dans l'espace àm dimensions,Ann. Sci. Ecole Norm. Sup. (3)70 (1953), 287–360.

    Google Scholar 

  11. T. Yoshizawa, Asymptotic behavior of solutions of a system of differential equations,Contributions to Differential Equations 1 (1963), 371–387.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Maryland, USA

    Aaron Strauss

  2. Institute for Fluid Dynamics, University of Maryland, USA

    James A. Yorke

Authors
  1. Aaron Strauss
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. James A. Yorke
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Also partially supported by the Institute for Fluid Dynamics and NSF grant GP-4921.

Also partially supported by an NSF Cooperative Fellowship and NSF grant GP-6114.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Strauss, A., Yorke, J.A. On asymptotically autonomous differential equations. Math. Systems Theory 1, 175–182 (1967). https://doi.org/10.1007/BF01705527

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01705527

Keywords

Search

Navigation