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On Volterra equations associated with a linear operator

  • Published:1993 Issue:4 Volume:118 Page:1159-1166
  • ISSN:0002-9939
  • Container-title:Proceedings of the American Mathematical Society
  • language:en
  • Short-container-title:Proc. Amer. Math. Soc.

Author:

Lizama Carlos

Abstract

In this work we define the Hille-Yosida space, in the sense of S. Kantorovitz, for a Volterra equation of convolution type.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference15 articles.

1. Die Anwendung des Operatorenkalküls von Jan Mikusiński auf lineare Integralgleichungen vom Faltungstypus;Butzer, P. L.;Arch. Rational Mech. Anal.,1958

2. On the second order Cauchy problem associated with a linear operator;Cioranescu, Ioana;J. Math. Anal. Appl.,1991

3. Linear integro-differential equations in Banach spaces;Da Prato, G.;Rend. Sem. Mat. Univ. Padova,1980

4. R. deLaubenfels and S. Kantorovitz, Laplace and Laplace-Stieltjes space (submitted).

5. North-Holland Mathematics Studies;Fattorini, H. O.,1985

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