Skip to main content
SpringerLink
Log in

Continuation and Limit Behavior for Damped Quasi-Variational Systems

  • Conference paper
Degenerate Diffusions

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 47))

Abstract

We shall be concerned with continuation and limit behavior as r → ∞ for solutions of the quasi-variational system

$$ {\left( {\nabla G\left( {u'} \right)} \right)^\prime } + f\left( {r,u} \right) = Q\left( {r,u,u'} \right),\quad r \in J = \left[ {R,\infty } \right).$$
(1.1)

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. R.J. Ballieu &Amp; K. Peiffer, Attractivity of the origin for the equation = 0, J. Math. Anal. Appl. 65 (1978), pp. 321–332.

    Article  MathSciNet  MATH  Google Scholar 

  2. G. CanTarelli, Nuovi criteri per I’esistenza giobaie in futuro dei moti dei sistemi olonomi scleronomi, Ann. Mat. Pura Appl., to appear.

    Google Scholar 

  3. G. Cantarelli, Stabilizzazione dell’equilibrio dei sistemi olonomi mediante forze dissipative dipendenti dal tempo, to appear.

    Google Scholar 

  4. P. Pucci & J. Serrin, Continuation and limit properties for solutions of strongly nonlinear second order differential equations, Asymptotic Anal. 4 (1991), pp. 97–160.

    MathSciNet  MATH  Google Scholar 

  5. P. Pucci & J. Serrin, Global asymptotic stability for strongly nonlinear second order systems, Proc. “Nonlinear Diffusion Equations and their Equilibrium States ”, W.-M. Ni, L. Peletier, J. Serrin, eds., to appear.

    Google Scholar 

  6. P. Pucci & J. Serrin, Precise damping conditions for global asymptotic stability of nonlinear second order systems, to appear.

    Google Scholar 

  7. R.T. RockafellaR, “Convex Analysis ”, Princeton Univ. Press, 1970.

    Google Scholar 

  8. L. Salvadori, Famiglie ad un parametro di funzioni di Liapunov nello studio della stabilità, Symposia Math., Pubbl. INdAM, 6 (1971), pp. 309–3

    MathSciNet  Google Scholar 

  9. L.H. ThurstoN & J.W. WONG, On global asymptotic stability of certain second order differential equations with integrable forcing terms, SIAM J. Appl. Math. 24 (1973), pp. 50–61.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Matematica, Università di Perugia Italy, Italy

    Patrizia Pucci

  2. Department of Mathematics, University of Minnesota, Minneapolis, Minnesota, USA

    James Serrin

Authors
  1. Patrizia Pucci
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. James Serrin
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. School of Mathematics, University of Minnesota, Minneapolis, MN, 55455, USA

    Wei-Ming Ni

  2. University of Leiden, P.O. Box 9512, 2300 RA, Leiden, The Netherlands

    L. A. Peletier

  3. Division de Matemáticas, Universidad Autonomade Madrid, Cantoblanco, 28049, Madrid, Spain

    J. L. Vazquez

Rights and permissions

Reprints and permissions

Copyright information

© 1993 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Pucci, P., Serrin, J. (1993). Continuation and Limit Behavior for Damped Quasi-Variational Systems. In: Ni, WM., Peletier, L.A., Vazquez, J.L. (eds) Degenerate Diffusions. The IMA Volumes in Mathematics and its Applications, vol 47. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-0885-3_11

Download citation

  • DOI: https://doi.org/10.1007/978-1-4612-0885-3_11

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-6935-9

  • Online ISBN: 978-1-4612-0885-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation