Selecciones Matemáticas (Jun 2016)

SEMIGROUPS N TIMES INTEGRATED AND AN APPLICATION TO A PROBLEM OF CAUCHY TYPE

  • Danessa Chirinos Fernández,
  • Ulices Zavaleta Calderón

DOI
https://doi.org/10.17268/sel.mat.2016.01.02
Journal volume & issue
Vol. 3, no. 1
pp. 8 – 17

Abstract

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The theory of semigroups n times integrated is a generalization of strongly continuous semigroups, which was developed from 1984, and is widely used for the study of the existence and uniqueness of problems such Cauchy in which the operator domain is not necessarily dense. This paper presents an application of semigroups n times integrated into a problem of viscoelasticity, which is formulated as a Cauchy problem on a Banach space presents .

Keywords