Skip to main content

Functional differential equations with discontinuous right hand side

  • 409 Accesses

Part of the Lecture Notes in Mathematics book series (LNM,volume 737)

Keywords

  • Phase Space
  • Functional Differential Equation
  • Continuous Dependence
  • Influence Function
  • Delay Equation

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.95
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. J. G. Borisovič and A. S. Turbabin, On the Cauchy problem for linear non-homogeneous differential equations with retarded argument, Soviet Math. Doklady, 10 (1969), 401–405.

    MATH  Google Scholar 

  2. J. A. Burns and T. L. Herdman, Adjoint semigroup theory for a class of functional differential equations, SIAM J. Math. Anal., 7 (1976), 729–745.

    CrossRef  MathSciNet  MATH  Google Scholar 

  3. B. D. Coleman and V. J. Mizel, Norms and semigroups in the theory of fading memory, Arch. Rational Mech. Anal., 23 (1966), 87–123.

    CrossRef  MathSciNet  MATH  Google Scholar 

  4. B. D. Coleman and V. J. Mizel, On the general theory of fading memory, Arch. Rational Mech. Anal., 29 (1968), 18–31.

    MathSciNet  MATH  Google Scholar 

  5. B. D. Coleman and D. R. Owen, On the initial value problem for a class of functional-differential equations, Arch. Rational Mech. Anal., 55 (1974),275–299.

    CrossRef  MathSciNet  MATH  Google Scholar 

  6. M. C. Delfour and S. K. Mitter, Hereditary differential systems with constant delays. I. General Case, J. Diff. Eqs., 12 (1972), 213–235.

    CrossRef  MathSciNet  MATH  Google Scholar 

  7. J. K. Hale, Functional differential equations with infinite delays, J. Math. Anal. Appl., 48 (1974), 276–283.

    CrossRef  MathSciNet  MATH  Google Scholar 

  8. J. K. Hale and C. Imaz, Existence, continuity and continuation of solutions of retarded differential equations, Bol. Soc. Mat. Mex. (1967), 29–37.

    Google Scholar 

  9. J. K. Halc and J. Kato, Phase space for retarded equations with infinite delay, (1978), preprint.

    Google Scholar 

  10. F. Kappel and W. Schappacher, Autonomous nonlinear functional differential equations and averaging approximations, (1977), preprint.

    Google Scholar 

  11. M. J. Leitman and V. J. Mizel, On fading memory spaces and hereditary integral equations, Arch. Rational Mech. Anal., 55 (1974), 18–51.

    CrossRef  MathSciNet  MATH  Google Scholar 

  12. J. J. Levin, Boundedness and oscillation of some Volterra and delay equations, J. Diff. Eqs., 5 (1969), 369–398.

    CrossRef  MathSciNet  MATH  Google Scholar 

  13. J. J. Levin and D. F. Shea, On the asymptotic behavior of the bounded solutions of some integral equations, I, II, III, J. Math. Anal. Appl., 37 (1972), 42–82, 288–326, 537–575.

    CrossRef  MathSciNet  MATH  Google Scholar 

  14. P. F. Lima, Hopf bifurcation in equations with infinite delays, Ph.D. Thesis, Brown University, Providence, R. I., June 1977.

    Google Scholar 

  15. T. Naito, On linear autonomous retarded equations with an abstract phase space for infinite delay, (1978), preprint.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1979 Springer-Verlag

About this paper

Cite this paper

Herdman, T.L., Burns, J.A. (1979). Functional differential equations with discontinuous right hand side. In: Londen, SO., Staffans, O.J. (eds) Volterra Equations. Lecture Notes in Mathematics, vol 737. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0064500

Download citation

  • DOI: https://doi.org/10.1007/BFb0064500

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09534-7

  • Online ISBN: 978-3-540-35035-4

  • eBook Packages: Springer Book Archive