Skip to main content
Log in

Decay to zero in critical cases of second order ordinary differential equations of Duffing type

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. Ball, J.M., Initial-boundary value problems for an extensible beam, J. Math. Anal. Appl. 42, 61–90 (1973).

    Google Scholar 

  2. Ball, J.M., Stability theory for an extensible beam, J. Diff, Eqns. 14, 339–418 (1973).

    Google Scholar 

  3. Ball, J. M., Saddle point analysis for an ordinary differential equation in a Banach space, and an application to dynamic buckling of a beam, Proc. Symp. Nonlinear Elasticity, ed., R. W. Dickey, Academic Press, 1973.

  4. Bellman, R., Methods of Nonlinear Analysis, Vol. 1, Academic Press 1970.

  5. Hale, J.K., “Ordinary differential equations”, Wiley-Interscience, New York 1969.

    Google Scholar 

  6. Hartman, P., “Ordinary differential equations”, Wiley, New York, 1964.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by J. Serrin

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ball, J.M., Carr, J. Decay to zero in critical cases of second order ordinary differential equations of Duffing type. Arch. Rational Mech. Anal. 63, 47–57 (1976). https://doi.org/10.1007/BF00280141

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00280141

Keywords

Navigation