Skip to main content
SpringerLink
Log in

Exponential stability for a class of functional differential equations

  • 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

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. Coleman, B. D., & V. J. Mizel, Norms and semi-groups in the theory of fading memory. Arch. Rational Mech. Anal. 3, 87–123 (1966).

    Google Scholar 

  2. Coleman, B. D., & V. J. Mizel, A general theory of dissipation in materials with memory. Arch. Rational Mech. Anal. 27, 255–274 (1968).

    Google Scholar 

  3. Coleman, B. D., & V. J. Mizel, On the stability of solutions of functional-differential equations. Arch. Rational Mech. Anal. 30, 173–196 (1968).

    Google Scholar 

  4. Coleman, B. D., & V. J. Mizel, On thermodynamic conditions for the stability of evolving systems. Arch. Rational Mech. Anal. 29, 105–113 (1968).

    Google Scholar 

  5. Coleman, B. D., Thermodynamics of materials with memory. Arch. Rational Mech. Anal. 17, 1–46 (1964).

    Google Scholar 

  6. Coleman, B. D., & W. Noll, An approximation theorem for functionals with applications in continuum mechanics. Arch. Rational Mech. Anal. 6, 355–370 (1960).

    Google Scholar 

  7. Doetsch, G., Theorie und Anwendung der Laplace-Transformation. New York: Dover Publications 1943.

    Google Scholar 

  8. König, H., & J. Meixner, Lineare Systeme und Lineare Transformationen. Math. Nach. 19, 265–322 (1958).

    Google Scholar 

  9. MacCamy, R. C., The Laplace transform and initial-boundary value problems. J. Math. Anal. and Appl. 16, 1–14 (1966).

    Google Scholar 

  10. Coleman, B. D., & E. H. Dill, On the stability of certain motions of incompressible materials with memory. Arch. Rational Mech. Anal. 30, 197–224 (1968).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Carnegie-Mellon University, Pittsburgh, Pennsylvania

    R. C. MacCamy

Authors
  1. R. C. MacCamy
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by B. D. Coleman

This research was supported by AFOSR Grant AF-AFOSR-728-66.

Rights and permissions

Reprints and permissions

About this article

Cite this article

MacCamy, R.C. Exponential stability for a class of functional differential equations. Arch. Rational Mech. Anal. 40, 120–138 (1971). https://doi.org/10.1007/BF00250317

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00250317

Keywords

Search

Navigation