研究了无穷维H am ilton算子生成C0半群的问题,得到了类无穷维H am ilton算子生成C0半群的一个充分条件.把结果应用在一类双曲型混合问题生成的无穷维H am ilton算子上,证明此类算子生成C0半群,并利用H ille-Y osida定理进一步说明了结...研究了无穷维H am ilton算子生成C0半群的问题,得到了类无穷维H am ilton算子生成C0半群的一个充分条件.把结果应用在一类双曲型混合问题生成的无穷维H am ilton算子上,证明此类算子生成C0半群,并利用H ille-Y osida定理进一步说明了结果的正确性和有效性.另外,还给出了波动方程相应的无穷维H am ilton算子所生成的C0半群的具体表达式.展开更多
借助于算子值数学期望以及概率论方法,得到了Banach空间上指数有界的C半群的概率表示式,进而利用T ay lor展开式、Holder不等式及适当的随机变量的矩生成函数估计式等工具,以较为简化的形式给出了C半群概率型逼近及收敛速度的估计式.最...借助于算子值数学期望以及概率论方法,得到了Banach空间上指数有界的C半群的概率表示式,进而利用T ay lor展开式、Holder不等式及适当的随机变量的矩生成函数估计式等工具,以较为简化的形式给出了C半群概率型逼近及收敛速度的估计式.最后,应用所得到的渐近公式,把C0半群中的一些结果,如K endall及Chung公式,推广到C半群.展开更多
The goal of the present paper is to investigate an abstract system, called fractional differential variational inequality, which consists of a mixed variational inequality combined with a fractional evolution equation...The goal of the present paper is to investigate an abstract system, called fractional differential variational inequality, which consists of a mixed variational inequality combined with a fractional evolution equation in the framework of Banach spaces. Using discrete approximation approach, an existence theorem of solutions for the inequality is established under some suitable assumptions.展开更多
文摘研究了无穷维H am ilton算子生成C0半群的问题,得到了类无穷维H am ilton算子生成C0半群的一个充分条件.把结果应用在一类双曲型混合问题生成的无穷维H am ilton算子上,证明此类算子生成C0半群,并利用H ille-Y osida定理进一步说明了结果的正确性和有效性.另外,还给出了波动方程相应的无穷维H am ilton算子所生成的C0半群的具体表达式.
文摘借助于算子值数学期望以及概率论方法,得到了Banach空间上指数有界的C半群的概率表示式,进而利用T ay lor展开式、Holder不等式及适当的随机变量的矩生成函数估计式等工具,以较为简化的形式给出了C半群概率型逼近及收敛速度的估计式.最后,应用所得到的渐近公式,把C0半群中的一些结果,如K endall及Chung公式,推广到C半群.
基金received funding from the European Union's Horizon 2020 Research and Innovation Programme under the Marie Sklodowska-Curie grant agreement(823731-CONMECH)supported by the National Science Center of Poland under Maestro Project(UMO-2012/06/A/ST1/00262)+3 种基金National Science Center of Poland under Preludium Project(2017/25/N/ST1/00611)supported by the International Project co-financed by the Ministry of Science and Higher Education of Republic of Poland(3792/GGPJ/H2020/2017/0)Qinzhou University Project(2018KYQD06)National Natural Sciences Foundation of Guangxi(2018JJA110006)
文摘The goal of the present paper is to investigate an abstract system, called fractional differential variational inequality, which consists of a mixed variational inequality combined with a fractional evolution equation in the framework of Banach spaces. Using discrete approximation approach, an existence theorem of solutions for the inequality is established under some suitable assumptions.
