摘要
考虑了 C0 -半群关于参数的可微性 ,而参数含在半群的无穷小生成元中 .证明了 :无穷小生成元关于参数的广义连续性及强可微性蕴含着该 C0 -半群关于参数的可微性 .
This paper considers the differentiability of C0 -semigroups with respect to ( w.r.t.) parameters contained in their infinitesimal generators. It is proved that the generalized continuity and strong differentiability of their infinitesimal generators w.r.t.parameters imply the differentiability of the C0 - semigroups.The results are applied to the differentiability of the solution of a lineardelay differential equation w.r.t.its delays.
出处
《应用泛函分析学报》
CSCD
2000年第4期306-316,共11页
Acta Analysis Functionalis Applicata
基金
Foundation item:partially supported by the National Natural Science Foundation of China( 69774 0 1 2 )
