Partial stochastic asymptotic stability of neutral stochastic functional differential equations with Markovian switching by boundary condition
被引:14
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作者:
Liu, Dezhi
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Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R China
Anhui Univ Finance & Econ, Sch Stat & Appl Math, Bengbu 233030, Anhui, Peoples R ChinaNanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R China
Liu, Dezhi
[1
,2
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Wang, Weiqun
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Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R ChinaNanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R China
Wang, Weiqun
[1
]
Ignatyev, Oleksiy
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Michigan State Univ, Dept Stat & Probabil, E Lansing, MI 48824 USANanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R China
Ignatyev, Oleksiy
[3
]
Zhang, Wei
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Anhui Univ Finance & Econ, Sch Stat & Appl Math, Bengbu 233030, Anhui, Peoples R ChinaNanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R China
Zhang, Wei
[2
]
机构:
[1] Nanjing Univ Sci & Technol, Dept Appl Math, Nanjing 210094, Jiangsu, Peoples R China
[2] Anhui Univ Finance & Econ, Sch Stat & Appl Math, Bengbu 233030, Anhui, Peoples R China
[3] Michigan State Univ, Dept Stat & Probabil, E Lansing, MI 48824 USA
The partial stochastic asymptotic stability of neutral stochastic functional differential equations with Markovian switching (NSFDEwMSs) has been investigated, the sufficient conditions for partial stochastic asymptotic stability have been given. We have used the boundary condition and to replace the condition and have generalized some results of Sharov and Ignatyev to cover a class of much more general NSFDEwMSs. MSC: 39A11, 60H10, 37H10.
机构:
King Saud Univ, Coll Sci, Dept Stat & Operat Res, Riyadh 11451, Saudi Arabia
Univ Sfax, Fac Sci Sfax, Dept Math, Sfax, TunisiaKing Saud Univ, Coll Sci, Dept Stat & Operat Res, Riyadh 11451, Saudi Arabia
机构:
South Cent Univ Nationalities, Coll Math & Stat, Wuhan 430074, Peoples R ChinaSouth Cent Univ Nationalities, Coll Math & Stat, Wuhan 430074, Peoples R China
Hu, Junhao
Xu, Zhiying
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South Cent Univ Nationalities, Coll Math & Stat, Wuhan 430074, Peoples R ChinaSouth Cent Univ Nationalities, Coll Math & Stat, Wuhan 430074, Peoples R China