Exponential formula of bi-continuous n-th order m-times integrated C-groups with exponential boundedness
Using the research method of classical operator semigroup theory,based on the definition of bi-continuous n-th order m-times integrated C-groups with exponential boundedness and resolvent,this paper gave the representation relation of the bi-continuous n-th order m-times integrated C-groups with exponentially boundedness and its resolvent.Then the exponential for-mula of bi-continuous n-th order m-times integrated C-groups with exponentially boundedness was obtained.Thus the correlation results of n-th order m-times integrated C-semigroups were generalized and the research content of the operator semigroup theory was enriched.
bi-continuous n-th order m-times integrated C-groupexponential formulaexponential boundednessresolvent
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