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On Semigroups in Rn X Lp Corresponding to Differential Equations with Delays

Published online by Cambridge University Press:  20 November 2018

C. Bernier  and
A. Manitius
C. Bernier
Affiliation:
Université de Montréal, Montréal, Quebec
A. Manitius
Affiliation:
Université de Montréal, Montréal, Quebec
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In this paper we study some properties of the semigroups associated with the linear retarded functional differential equations (FDE) in the setting of Banach spaces Rn X Lp( — h, 0, Rn), 1 < p < ∞. Earlier investigations of these equations via semigroups defined on the customary space C([ — h, 0], Rn) played an important role in problems of stability, oscillations, bifurcation, asymptotic behavior etc. [15].

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 5 , 01 October 1978 , pp. 897 - 914
Copyright
Copyright © Canadian Mathematical Society 1978

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