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

Bernier, C. ; Manitius, A.

Canadian journal of mathematics, Tome 30 (1978) no. 5, pp. 897-914

Résumé

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].

Détail

DOI : 10.4153/CJM-1978-078-6

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