摘要
本文研究有界线性算子强连续双半群的扰动问题．文中首先研究与强连续双半群母元有关的算子方程的可解性与算子的相似性．在此基础上证明了在一定条件下可化为指数衰减的强连续双半群经适当扰动后仍是一个可化为指数衰减的强连续双半群．
In this paper the perturbation problem of bisemigroups is considered. First solvability of an operator equation and similarity of operators concerned with the infinitesimal generator of a strongly continuous bisemigroup are investigated. Then based on the obtained results, it is shown that the transmutable exponential decay property of bisemigroups is preserved under a bounded operator perturbation with some conditions.
出处
《应用数学学报》
CSCD
北大核心
2001年第1期111-118,共8页
Acta Mathematicae Applicatae Sinica
基金
国家攀登计划
山西省自然科学基金
山西省教委专项基金资助项目.
