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On the stability of diffusion processes with state-dependent switching

Science China mathematics 2006年第9期49卷 1258-1274页

作者： xi fubao & zhao liqin department of mathematics, beijing institute of technology, beijing 100081, China School of Mathematical Sciences, {3. Normal University, {3. 100875, China department of mathematics Beijing Institute of Technology Beijing 100081 China School of Mathematical Sciences Beijing Normal University Beijing 100875 China

In this paper we consider the stability for diffusion processes with state-dependent switching. We first prove their Feller continuity by the coupling methods. Furthermore, we also prove their strong Feller continuity and their exponential ergodicity under some reasonable conditions. Finally, we append a very brief discussion about the regularity of these processes.

关键词： Feller continuity, coupling, strong Feller continuity, exponential ergodicity,state-dependent switching.

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STATIONARY SOLUTION FOR A STOCHASTIC LINARD EQUATION WITH MARKOVIAN SWITCHING

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Acta Mathematica Scientia 2005年第1期25卷 95-104页

作者：席福宝赵丽琴 department of mathematics beijing institute of technology Beijing 100081 China department of mathematics beijing Normal University Beijing 100875 China

This paper considers a stochastic Lienard equation with Markovian switching. The Feller continuity of its solution is proved by the coupling method and a truncation argument. The existence of a stationary solution for... 详细信息

关键词： Coupling truncation feller continuity stationary solution

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Chinese expert consensus on conversion therapy for hepatocellular carcinoma(2021 edition)

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Hepatobiliary Surgery and Nutrition 2022年第2期11卷 227-252,I0011-I0014页

作者： Hui-Chuan Sun Jian Zhou Zheng Wang xiufeng Liu Qing xie Weidong Jia Ming zhao xinyu Bi Gong Li Xueli Bai Yuan Ji Li Xu xiao-Dong Zhu Dousheng Bai Yajin Chen Yongjun Chen Chaoliu Dai Rongping Guo Wenzhi Guo Chunyi Hao Tao Huang Zhiyong Huang Deyu Li Gang Li Tao Li xiangcheng Li Guangming Li xiao Liang Jingfeng Liu fubao Liu Shichun Lu Zheng Lu Weifu Lv Yilei Mao Guoliang Shao Yinghong Shi Tianqiang Song Guang Tan Yunqiang Tang Kaishan Tao Chidan Wan Guangyi Wang Lu Wang Shunxiang Wang Tianfu Wen Baocai xing Bangde xiang Sheng Yan Dinghua Yang Guowen Yin Tao Yin Zhenyu Yin Zhengping Yu Bixiang Zhang Jialin Zhang Shuijun Zhang Ti Zhang Yamin Zhang Yubao Zhang Aibin Zhang Haitao zhao Ledu Zhou Wu Zhang Zhenyu Zhu Shukui Qin Feng Shen xiujun Cai Gaojun Teng Jianqiang Cai Minshan Chen Qiang Li Lianxin Liu Weilin Wang Tingbo Liang Jiahong Dong xiaoping Chen Xuehao Wang Shusen Zheng Jia Fan 无 department of Liver Surgery and Transplantation Liver Cancer InstituteZhongshan HospitalFudan UniversityShanghaiChina department of Medical Oncology of PLA Cancer Center Jinling HospitalNanjingChina department of Infectious Disease Ruijin HospitalShanghai Jiao Tong University School of MedicineShanghaiChina department of Liver Surgery The First Affiliated Hospital of USTCHefeiChina Minimally Invasive Interventional Division Sun Yat-sen University Cancer CenterGuangzhouChina department of Hepatobiliary Surgery National Cancer Center/National Clinical Research Center for Cancer/Cancer HospitalChinese Academy of Medical Sciences and Peking Union Medical CollegeBeijingChina department of Radiation Oncology Beijing Tsinghua Changgung HospitalBeijingChina department of Hepatobiliary and Pancreatic Surgery the First Affiliated HospitalSchool of MedicineZhejiang UniversityHangzhouChina department of Pathology Fudan University Shanghai Cancer CentreShanghaiChina department of Liver Surgery Sun Yat-sen University Cancer CentreGuangzhouChina department of Hepatobiliary Surgery Clinical Medical CollegeYangzhou UniversityYangzhouChina department of Hepatobiliopancreatic Surgery Sun Yat-sen Memorial HospitalSun Yat-sen UniversityGuangzhouChina Division of Hepatobiliary Surgery Department of General SurgeryRuijin HospitalShanghai Jiaotong University School of MedicineShanghaiChina department of Hepatobiliary and Splenic Surgery Shengjing Hospital Affiliated to China Medical UniversityShenyangChina The department of Hepatobiliary Oncology of Sun Yat-sen University Cancer Center State Key Laboratory of Oncology in South ChinaCollaborative Innovation Center for Cancer MedicineGuangzhouChina department of Hepatobiliary and Pancreatic Surgery The First Affiliated Hospital of Zhengzhou UniversityZhengzhouChina Key Laboratory of Carcinogenesis and Translational Research(Ministry of Education) Sarcoma CenterPeking University Cancer Hospital and InstituteBeijingChina department of Hepatobili

Recent advances in systemic and locoregional treatments for patients with unresectable or advanced hepatocellular carcinoma(HCC)have resulted in improved response *** has provided an opportunity for selected patients with initially unresectable HCC to achieve adequate tumor downstaging to undergo surgical resection,a‘conversion therapy’***,conversion therapy is a new approach to the treatment of HCC and its practice and treatment protocols are still being *** the evidence for conversion therapy in HCC and develop consensus statements to guide clinical *** review:Many research centers in China have accumulated significant experience implementing HCC conversion *** findings and data have shown that conversion therapy represents an important strategy to maximize the survival of selected patients with intermediate stage to advanced HCC;however,there are still many urgent clinical and scientific challenges for this therapeutic strategy and its related *** order to summarize and learn from past experience and review current challenges,the Chinese Expert Consensus on Conversion Therapy for Hepatocellular Carcinoma(2021 Edition)was developed based on a review of preliminary experience and clinical data from Chinese and non-Chinese studies in this field and combined with recommendations for clinical *** consensus statements on the implementation of conversion therapy for HCC were *** statements generated in this review are based on a review of clinical evidence and real clinical experience and will help guide future progress in conversion therapy for patients with HCC.

关键词： Hepatocellular carcinoma(HCC) conversion therapy surgical resection systematic treatment locoregional treatment consensus China

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