Moderate deviations;
neutral functional stochastic differential equations;
Poisson random measure;
NONHOMOGENEOUS MARKOV-CHAINS;
REACTION-DIFFUSION EQUATIONS;
DELAY EQUATIONS;
SYSTEMS DRIVEN;
PRINCIPLE;
D O I:
10.1007/s11464-020-0836-y
中图分类号:
O1 [数学];
学科分类号:
0701 ;
070101 ;
摘要:
Using the weak convergence method introduced by A. Budhiraja, P. Dupuis, and A. Ganguly [Ann. Probab., 2016, 44: 1723-1775], we establish the moderate deviation principle for neutral functional stochastic differential equations driven by both Brownian motions and Poisson random measures.
机构:
Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R ChinaGuangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
Guo, Xiao-Xia
Sun, Wei
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机构:
Concordia Univ, Dept Math & Stat, Montreal, PQ H3G 1M8, CanadaGuangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China
机构:
Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
Jining Univ, Dept Math, Qufu 273155, Shandong, Peoples R ChinaBeijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
Ma, Xiaocui
Xi, Fubao
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机构:
Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R ChinaBeijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
机构:
Anhui Normal Univ, Dept Math, Wuhu 241000, Peoples R ChinaAnhui Normal Univ, Dept Math, Wuhu 241000, Peoples R China
Shen, Guangjun
Fan, Jingjing
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机构:
Anhui Normal Univ, Dept Math, Wuhu 241000, Peoples R ChinaAnhui Normal Univ, Dept Math, Wuhu 241000, Peoples R China
Fan, Jingjing
Wu, Jiang-Lun
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机构:
BNU HKBU United Int Coll, Fac Sci & Technol, Dept Math Sci, Zhuhai 519087, Peoples R China
UIC, Guangdong Prov Key Lab Interdisciplinary Res & App, Zhuhai 519087, Peoples R ChinaAnhui Normal Univ, Dept Math, Wuhu 241000, Peoples R China
Wu, Jiang-Lun
Wang, Zhi
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机构:
Ningbo Univ Technol, Sch Stat & Data Sci, Ningbo 315211, Peoples R ChinaAnhui Normal Univ, Dept Math, Wuhu 241000, Peoples R China
机构:
Florida Atlantic Univ, Dept Math Sci, Boca Raton, FL 33431 USAFlorida Atlantic Univ, Dept Math Sci, Boca Raton, FL 33431 USA
Long, Hongwei
Ma, Chunhua
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机构:
Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
Nankai Univ, LPMC, Tianjin 300071, Peoples R ChinaFlorida Atlantic Univ, Dept Math Sci, Boca Raton, FL 33431 USA
Ma, Chunhua
Shimizu, Yasutaka
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机构:
Waseda Univ, Dept Appl Math, Shinjuku Ku, 3-4-1 Okubo, Tokyo 1698555, JapanFlorida Atlantic Univ, Dept Math Sci, Boca Raton, FL 33431 USA
机构:
School of Statistics and Mathematics, Zhongnan University of Economics and LawSchool of Statistics and Mathematics, Zhongnan University of Economics and Law
Feng JIANG
Hua YANG
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机构:
School of Automation, Huazhong University of Science and Technology
School of Mathematics and Computer Science, Wuhan Polytechnic UniversitySchool of Statistics and Mathematics, Zhongnan University of Economics and Law
Hua YANG
Yi SHEN
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机构:
School of Automation, Huazhong University of Science and TechnologySchool of Statistics and Mathematics, Zhongnan University of Economics and Law