Asymptotic almost periodicity of -semigroups.
Fractional evolution equations governed by coercive differential operators.
α-times integrated semigroups: local and global
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.
Almost periodicity of C-semigroups, integrated semigroups and C-cosine functions
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.
Dynamical behavior of a third-order rational difference equation.
Robustness with respect to small time-varied delay for linear dynamical systems on Banach spaces
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.
Local integrated C-semigroups
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.
Global attraction in a rational recursive relation.
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