A nonlinear contraction semigroup for a functional differential equation

  • Dennis W. Brewer
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 737)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    V. Barbu and S. I. Grossman, Asymptotic behaviour of linear integrodifferential systems, Trans. Amer. Math. Soc. 173(1972), 277–288. MR 46 #7826.MathSciNetCrossRefMATHGoogle Scholar
  2. [2]
    D. W. Brewer, A nonlinear semigroup for a functional differential equation, Trans. Amer. Math. Soc. 236(1978), 173–191.MathSciNetCrossRefMATHGoogle Scholar
  3. [3]
    B. D. Coleman and V. J. Mizel, On the stability of solutions of functional differential equations, Arch. Rational Mech. Anal. 30(1968), 173–196. MR 37 #5499.MathSciNetMATHGoogle Scholar
  4. [4]
    M. G. Crandall, An introduction to evolution governed by accretive operators, Proc. Internat. Sympos. Dynamical Systems (Brown Univ., Providence, R. I., 1974).Google Scholar
  5. [5]
    M. G. Crandall, Semigroups of nonlinear transformations in Banach spaces, Contributions to Nonlinear Functional Analysis (E. Zarantonello, editor), Academic Press, New York, 1971, 157–179.CrossRefGoogle Scholar
  6. [6]
    M. G. Crandall and T. M. Liggett, Generation of semigroups of nonlinear transformations on general Banach spaces, Amer. J. Math. 93(1971), 265–298. MR 44 #4563.MathSciNetCrossRefMATHGoogle Scholar
  7. [7]
    J. R. Haddock, Asymptotic behaviour of solutions of nonlinear functional differential equations in Banach space, Trans. Amer. Math. Soc. 231(1977), 83–92.MathSciNetCrossRefMATHGoogle Scholar
  8. [8]
    J. K. Hale, Functional differential equations with infinite delays, J. Math. Anal. Appl. 48(1974), 276–283. MR 51 #1067.MathSciNetCrossRefMATHGoogle Scholar
  9. [9]
    C. C. Travis and G. F. Webb, Existence and stability for partial functional differential equations, Trans. Amer. Math. Soc. 200(1974), 395–418.MathSciNetCrossRefMATHGoogle Scholar
  10. [10]
    G. F. Webb, Asymptotic stability for abstract nonlinear functional differential equations, Proc. Amer. Math. Soc. 54(1976), 225–230.MathSciNetCrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • Dennis W. Brewer
    • 1
  1. 1.Department of MathematicsUniversity of ArkansasFayettevilleUSA

Personalised recommendations