Some questions on the integrodifferential equation u′=AK*u+BM*u

  • Andrea Pugliese
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 1223)


Integral Equation Linear Operator Closed Operator Integrodifferential Equation Analytic Semigroup 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    G. Chen and R. Grimmer: Semigroups and integral equations, J. Integral Equations 2(1980), 133–154.MathSciNetzbMATHGoogle Scholar
  2. [2]
    G. Da Prato and P. Grisvard: Sommes d'operateurs lineaires et equations differentialles operationalles, J. Math. pures et appl. 54(1975), 305–387.zbMATHGoogle Scholar
  3. [3]
    G. Da Prato and M. Iannelli: Linear integro-differential equations in Banach spaces, Rend. Sem. Mat. Univ. Padova 62(1980), 207–219.MathSciNetzbMATHGoogle Scholar
  4. [4]
    G. Da Prato, M. Iannelli and E. Sinestrari: Regularity of solutions of a class of linear integrodifferential equations in Banach spaces, J. Integral Equations 8(1985), 27–40.MathSciNetzbMATHGoogle Scholar
  5. [5]
    W. Desch and W. Schappacher: The semigroup approach to integrodifferential equations, to appear.Google Scholar
  6. [6]
    G. Doetsch: Introduction to the theory and application of the Laplace transformation, Springer-Verlag, Berlin (1970).Google Scholar
  7. [7]
    R. Grimmer and A. Pritchard: Analitic resolvent operators for integral equations in Banach space, J. Differential Equations 50(1983), 234–254.MathSciNetCrossRefzbMATHGoogle Scholar
  8. [8]
    R. Grimmer and J. Pruss: On linear Volterra Equations in Banach spaces, Int. J. Comp. and Appl. Math. (to appear).Google Scholar
  9. [9]
    E. Hille and R.S. Phillips: Functional analysis and semigroups, American Mathematical Society, Providence (1957).zbMATHGoogle Scholar

Copyright information

© Springer-Verlag 1986

Authors and Affiliations

  • Andrea Pugliese
    • 1
  1. 1.Dipartimento di MatematicaUniversita' degli Studi di TrentoPovo (Trento)Italia

Personalised recommendations