# American Institute of Mathematical Sciences

2003, 2003(Special): 403-412. doi: 10.3934/proc.2003.2003.403

## On continuity in parameters of integrated semigroups

 1 Department of Mathematical Sciences, Kent State University-Trumbull Campus, Warren, Ohio 44483

Received  September 2002 Revised  March 2003 Published  April 2003

Considering a family of non-densely defined Hille-Yosida operators A($\epsilon$), we discuss continuity in a multi-parameter $\epsilon$ of integrated semigroup S(t, $\epsilon$) generated by A($\epsilon$). Recent developed theorems are given for determining continuity in parameters of integrated semigroup on the entire space. The obtained results are effectively and conveniently employed for some hyperbolic and parabolic types of equations.
Citation: Min He. On continuity in parameters of integrated semigroups. Conference Publications, 2003, 2003 (Special) : 403-412. doi: 10.3934/proc.2003.2003.403
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