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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

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.

Local integrated C-semigroups

80%

Li M. , Huang F.-l. , Zheng Q.

Studia Mathematica

2001

tom 145

nr 3

265-280

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.

Robustness with respect to small time-varied delay for linear dynamical systems on Banach spaces

80%

Li M. , Gu X.-H. , Huang F.-L.

Studia Mathematica

2004

tom 163

nr 3

289-305

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.

Almost periodicity of C-semigroups, integrated semigroups and C-cosine functions

80%

Gu X. , Li M. , Huang F.

Studia Mathematica

2002

tom 150

nr 2

189-200

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.