Skip to main content

Some recent results on dissipative processes

  • Conference paper
  • First Online:
Functional Differential Equations and Bifurcation

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 799))

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
Price excludes VAT (USA)
  • Compact, lightweight 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. AMANN, H., Periodic solutions of semilinear parabolic equations. pp. 1–29 in Nonlinear Analysis, Academic Press, 1978.

    Google Scholar 

  2. ARTSTEIN, Z., The limiting equations of nonautonomous differential equations, J. Differential Eqs., 25(1977), 184–201.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  3. ARTSTEIN, Z., Uniform asymptotic stability via the limiting equations, J. Differential Eqs., 27(1978), 172–189.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  4. ARTSTEIN, Z., On continuous dependence of fixed points condensing maps. Dynamical Systems, An International Symposium, Vol. II, 73–75.

    Google Scholar 

  5. BILLOTTI, J. and LASALLE, J.P., Periodic dissipative processes. Bull. Am. Math. Soc., 6(1971), 1082–1089.

    Article  MathSciNet  MATH  Google Scholar 

  6. BRUMLEY, W.E., On the asymptotic behavior of solutions of differential-difference equations of neutral type, J. Differential Eqs., 7(1970), 175–188.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  7. COOPERMAN, G.D., α-condensing maps and dissipative systems, Ph.D. Thesis, Brown University, June, 1978.

    Google Scholar 

  8. DAFERMOS, C., Semiflows associated with compact and uniform processes, Math. Systems Theory, 8(1974), 142–149.

    Article  MathSciNet  MATH  Google Scholar 

  9. IZE, A.F. and DOS REIS, J.G., Contributions to stability of neutral functional differential equations, J. Differential Eqs., Vol. 29, 1(1978).

    Google Scholar 

  10. HALE, J.K., Theory of Functional Differential Equations, Appl. Math. Series, Vol. 3, 2nd edition, Springer-Verlag, 1977.

    Google Scholar 

  11. HALE, J.K., Continuous dependence of fixed points of condensing maps, J. Math. An. Appl., 46(1974), 388–394.

    Article  MathSciNet  MATH  Google Scholar 

  12. HALE, J.K. and KATO, J., Phase space for retarded equations with infinite delays, Funkc. Ekvacioj 21(1978), 11–41.

    MathSciNet  MATH  Google Scholar 

  13. HALE, J.K. and LOPES, O.F., Fixed point theorems and dissipative processes, J. Differential Eqs., 13(1973), 391–402.

    Article  ADS  MathSciNet  MATH  Google Scholar 

  14. KURZWEIL, J., Global solutions of functional differential equations, In Lecture Notes in Math., Vol. 144, Springer-Verlag, 1970.

    Google Scholar 

  15. MASSATT, P., Some properties of condensing maps, Annali di Mat. Pura Appl.. To appear.

    Google Scholar 

  16. MASSATT, P., Stability and fixed points of point dissipative systems, J. Differential Eqs.. Submitted.

    Google Scholar 

  17. PALMER, J.W., Liapunov stability theory for nonautonomous functional differential equations, Ph.D. Thesis, Brown University, June, 1978.

    Google Scholar 

  18. SELL, G., Lecture on Topological Dynamics and Differential Equations, van Nostrand, 1971.

    Google Scholar 

  19. WALTHER, H., Stability of attractivity regions for autonomous functional differential equations, Manuscripta Math., 15(1975), 349–363.

    Article  MathSciNet  MATH  Google Scholar 

  20. WRIGHT, E.M., A nonlinear differential-difference equation. J. Reine Anafw. Math., 194(1955), 66–87.

    MATH  Google Scholar 

Download references

Authors

Editor information

Antonio Fernandes Izé

Rights and permissions

Reprints and permissions

Copyright information

© 1980 Springer-Verlag

About this paper

Cite this paper

Hale, J.K. (1980). Some recent results on dissipative processes. In: Izé, A.F. (eds) Functional Differential Equations and Bifurcation. Lecture Notes in Mathematics, vol 799. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089314

Download citation

  • DOI: https://doi.org/10.1007/BFb0089314

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09986-4

  • Online ISBN: 978-3-540-39251-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics