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Functional differential equations with discontinuous right hand side

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Volterra Equations

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

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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.

    Article  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.

    Article  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.

    Article  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.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  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.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  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.

    Article  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 

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Authors and Affiliations

  1. Department of Mathematics, Virginia Polytechnic Institute and State University, 24061, Blacksburg, Virginia, USA

    T. L. Herdman & J. A. Burns

Authors
  1. T. L. Herdman
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  2. J. A. Burns
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Editor information

Stig-Olof Londen Olof J. Staffans

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© 1979 Springer-Verlag

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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

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

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09534-7

  • Online ISBN: 978-3-540-35035-4

  • eBook Packages: Springer Book Archive

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