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α-times integrated semigroups: local and global

100%
Li M., Zheng Q.
Studia Mathematica
|
2003
|
tom 154
|
nr 3
243-252
EN
We investigate the relations between local α-times integrated semigroups and (α + 1)-times integrated Cauchy problems, and then the relations between global α-times integrated semigroups and regularized semigroups.
2
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Local integrated C-semigroups

81%
Li M., Huang F.-l., Zheng Q.
Studia Mathematica
|
2001
|
tom 145
|
nr 3
265-280
EN
We introduce the notion of a local n-times integrated C-semigroup, which unifies the classes of local C-semigroups, local integrated semigroups and local C-cosine functions. We then study its relations to the C-wellposedness of the (n + 1)-times integrated Cauchy problem and second order abstract Cauchy problem. Finally, a generation theorem for local n-times integrated C-semigroups is given.
3
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Almost periodicity of C-semigroups, integrated semigroups and C-cosine functions

81%
Gu X., Li M., Huang F.
Studia Mathematica
|
2002
|
tom 150
|
nr 2
189-200
EN
We investigate the characterization of almost periodic C-semigroups, via the Hille-Yosida space Z₀, in case of R(C) being non-dense. Analogous results are obtained for C-cosine functions. We also discuss the almost periodicity of integrated semigroups.
4
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Robustness with respect to small time-varied delay for linear dynamical systems on Banach spaces

81%
Li M., Gu X.-H., Huang F.-L.
Studia Mathematica
|
2004
|
tom 163
|
nr 3
289-305
EN
Under suitable conditions we prove the wellposedness of small time-varied delay equations and then establish the robust stability for such systems on the phase space of continuous vector-valued functions.
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