On certain bounded solutions of a volterra integral equation

  • George Seifert
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 737)


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    G. Seifert, Positive Invariance for Closed Sets for Generalized Volterra Equations, (submitted for publication).Google Scholar
  2. [2]
    R. K. Miller, Nonlinear Volterra Integral Equations, Benjamin, Inc. (1971).Google Scholar
  3. [3]
    J. Dugundji, An Extension of Tietze's Theorem, Pac. J. Math. 1 (1972), 161–170.MathSciNetGoogle Scholar
  4. [4]
    H. S. Carslaw and J. C. Jaeger, Conduction of Heat in Solids, 2nd ed., Oxford at Clarendon Press, New York (1959).MATHGoogle Scholar
  5. [5]
    G. Gripenberg, Bounded Solutions of a Volterra Equation, J. Diff. Eq. 28 (1), (1978), 18–22.MathSciNetCrossRefMATHGoogle Scholar
  6. [6]
    J. J. Levin, On a Nonlinear Volterra Equation, J. Math. Analysis and Appl. 39 (1972), 458–476.MathSciNetCrossRefMATHGoogle Scholar
  7. [7]
    _____, A Bound on the Solutions of a Volterra Equation, Arch. Rat. Mech. Anal. 52 (1973), 339–349.MathSciNetCrossRefMATHGoogle Scholar
  8. [8]
    D. G. Weis, Asymptotic Behavior of Some Nonlinear Volterra Integral Equations, J. Math. Anal. Appl. 49 (1975), 59–87.MathSciNetCrossRefMATHGoogle Scholar
  9. [9]
    R. K. Miller, Almost-Periodic Behavior of Solutions of a Nonlinear Volterra System, Q. Appl. Math. (1971), 553–570.Google Scholar

Copyright information

© Springer-Verlag 1979

Authors and Affiliations

  • George Seifert
    • 1
  1. 1.Iowa State UniversityAmes

Personalised recommendations