RETARDED FUNCTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES AND HENSTOCK-KURZWEIL INTEGRALS

2002 ◽  
Vol 35 (1) ◽  
Author(s):  
Aneta Sikorska-Nowak
Keyword(s):  
Differential Equations ◽  
Banach Spaces ◽  
Functional Differential Equations ◽  
Retarded Functional Differential Equations ◽  
Functional Differential

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

1978 ◽  
Vol 30 (5) ◽  
pp. 897-914 ◽  
Author(s):  
C. Bernier ◽  
A. Manitius
Keyword(s):  
Asymptotic Behavior ◽  
Differential Equations ◽  
Banach Spaces ◽  
Functional Differential Equations ◽  
Retarded Functional Differential Equations ◽  
Functional Differential

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].

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