### Perturbation theorems for local integrated semigroups and their applications

Sheng Wang Wang, Mei Ying Wang, Yan Shen (2005)

Studia Mathematica

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Motivated by a great deal of interest in operators that may not be densely defined and do not generate global integrated semigroups, we establish general perturbation theorems for local integrated semigroups and describe their applications to local complete second order abstract differential equations.