On the asymptotics of 𝑛-times integrated semigroups

2020 ◽  
pp. 263-272
Author(s):  
José Galé ◽  
María Martínez ◽  
Pedro Miana
Keyword(s):  
Integrated Semigroups

scholarly journals Integrated semigroups

1989 ◽  
Vol 84 (1) ◽  
pp. 160-180 ◽  
Author(s):  
Hermann Kellerman ◽  
Matthias Hieber
Keyword(s):  
Integrated Semigroups

Integrated semigroups and integrodifferential equations

1994 ◽  
Vol 48 (1) ◽  
pp. 79-95 ◽  
Author(s):  
Ronald Grimmer ◽  
James H. Liu
Keyword(s):  
Integrodifferential Equations ◽  
Integrated Semigroups

scholarly journals Integrated cosine functions

1996 ◽  
Vol 19 (3) ◽  
pp. 575-580 ◽  
Author(s):  
Quan Zheng
Keyword(s):  
Banach Space ◽  
Cauchy Problem ◽  
Second Order ◽  
Basic Theory ◽  
Cosine Function ◽  
Integrated Semigroups ◽  
Approximation Theorems ◽  
The Relationship ◽  
Cosine Functions

In order to the second order Cauchy problem(CP2):x″(t)=Ax(t),x(0)=x∈D(An),x″(0)=y∈D(Am)on a Banach space, Arendt and Kellermann recently introduced the integrated cosine function. This paper is concerned with its basic theory, which contain some properties, perturbation and approximation theorems, the relationship to analytic integrated semigroups, interpolation and extrapolation theorems.

scholarly journals Integrated Semigroups on Fréchet Spaces I: Bochner Integral, Laplace Integral and Real Representation Theorems

2019 ◽  
Vol 11 (1) ◽  
pp. 118
Author(s):  
Tiziano Granucci
Keyword(s):  
Functional Space ◽  
Fréchet Spaces ◽  
Bochner Integral ◽  
Representation Theorems ◽  
Real Representation ◽  
Integrated Semigroups ◽  
Laplace Integral ◽  
Vectorial Functions

In this articles we will study the integration of the vectorial functions in Fréchet spaces. Particularly we will introduce and we will study a new functional space and we will prove some theorems of representation.

scholarly journals Local Integrated Semigroups: Evolution with Jumps of Regularity

1994 ◽  
Vol 186 (2) ◽  
pp. 572-595 ◽  
Author(s):  
W. Arendt ◽  
O. Elmennaoui ◽  
V. Keyantuo
Keyword(s):  
Integrated Semigroups

Integrated Semigroups and C-Semigroups and their Applications

2018 ◽  
Vol 230 (4) ◽  
pp. 513-646 ◽  
Author(s):  
V. V. Vasil’ev ◽  
S. I. Piskarev ◽  
N. Yu. Selivanova
Keyword(s):  
Integrated Semigroups
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