Approximate controllability of second-order impulsive neutral stochastic differential equations with state-dependent delay and Poisson jumps

被引：0
作者：
Hao Huang
Zheng Wu
Xiaofeng Su
机构：
[1] Hefei Normal University,School of Mathematics and Statistics
[2] Anhui University,School of Mathematical Sciences
来源：
Journal of Inequalities and Applications | / 2023卷
关键词：
Approximate controllability; Strongly continuous cosine family; Second order; Impulsive neutral stochastic differential equations; State-dependent delay; Poisson jumps; 34K50; 34K45; 93B05;
D O I：
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摘要：
We consider the approximate controllability for a class of second-order impulsive neutral stochastic differential equations with state-dependent delay and Poisson jumps in a real separable Hilbert space. Under the sufficient conditions, we obtain approximate controllability results by virtue of the theory of a strongly continuous cosine family of bounded linear operators combined with stochastic inequality technique and the Sadovskii fixed point theorem. Finally, we illustrate the main results by an example.
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[1]  
Bashirov A.E.(1999)On concepts of controllability for deterministic and stochastic systems SIAM J. Control Optim. 37 1808-1821
[2]  
Mahmudov N.I.(2005)Controllability of non-linear biochemical systems Math. Biosci. 196 99-123
[3]  
Anandhi E.R.(2014)Approximate controllability of semi-linear neutral integro-differential systems with finite delay Appl. Math. Comput. 242 202-215
[4]  
Voit E.O.(2008)Controllability of neutral functional evolution integrodifferential systems with infinite delay IMA J. Math. Control Inf. 25 157-171
[5]  
Mokkedem F.Z.(2018)Controllability of the second-order nonlinear differential equations with non-instantaneous impulses J. Dyn. Control Syst. 24 325-342
[6]  
Fu X.(2018)Existence and controllability of second-order neutral impulsive stochastic evolution integro-differential equations with state-dependent delay J. Fixed Point Theory Appl. 20 801-807
[7]  
Balachandran K.(2009)Controllability of non-linear impulsive stochastic systems Int. J. Control 82 2035-2046
[8]  
Leelamani A.(2016)Approximate controllability of neutral stochastic integro-differential systems with impulsive effects Electron. J. Differ. Equ. 2016 411-420
[9]  
Kim J.H.(2009)Approximate controllability of nonlinear stochastic impulsive integrodifferential systems in Hilbert spaces Chaos Solitons Fractals 42 351-358
[10]  
Kumar A.(2006)Existence results for an impulsive abstract partial differential equation with state-dependent delay Comput. Math. Appl. 52 173-192
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