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

Authors

  • Danessa Chirinos Fernández
  • Ulices Zavaleta Calderón

DOI:

https://doi.org/10.17268/sel.mat.2016.01.02

Keywords:

Semigroup n times integrated, Cauchy problem, viscoelasticity

Abstract

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 .

References

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Desch, W., Grimmer, R., Schappacher, W. - Some considerations for linear integrodifferential equations, J. Math. Anal. Appl. 104, (1984), pp. 219-234.

Grimmer, R. y Liu, J.- Integrated Semigroups and Integrodifferential Equations, Semigroup Forum Vol. 48, pp. 79-95 (1994)

Grimmer, R. y Liu, J.- Integrodifferential Equations with nondensely defined operators, Differential Equations with applications inn Biology, Physics and Engineering, J. Goldstein, F. Kappel and W. Schappacher (eds), Marel Dekker Inc., 1991, 185-199.

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Published

2016-06-30

How to Cite

Chirinos Fernández, D., & Zavaleta Calderón, U. (2016). SEMIGROUPS N TIMES INTEGRATED AND AN APPLICATION TO A PROBLEM OF CAUCHY TYPE. Selecciones Matemáticas, 3(01), 8-17. https://doi.org/10.17268/sel.mat.2016.01.02

Issue

Vol. 3 No. 01 (2016): January - July

Section

Articles

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