scholarly journals Partial stochastic asymptotic stability of neutral stochastic functional differential equations with Markovian switching by boundary condition

2012 ◽  
Vol 2012 (1) ◽  
Author(s):  
Dezhi Liu ◽  
Weiqun Wang ◽  
Oleksiy Ignatyev ◽  
Wei Zhang
Keyword(s):  
Boundary Condition ◽  
Asymptotic Stability ◽  
Differential Equations ◽  
Functional Differential Equations ◽  
Markovian Switching ◽  
Stochastic Functional Differential Equations ◽  
Stochastic Asymptotic Stability ◽  
Functional Differential ◽  
Stochastic Functional

scholarly journals β -Stability in q -th Moment of Neutral Impulsive Stochastic Functional Differential Equations with Markovian Switching

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Lassaad Mchiri ◽  
Mohamed Rhaima
Keyword(s):  
Differential Equations ◽  
Type Theorem ◽  
Functional Differential Equations ◽  
Markovian Switching ◽  
Stochastic Functional Differential Equations ◽  
Numerical Example ◽  
Lyapunov Techniques ◽  
Functional Differential ◽  
Stochastic Functional

In this paper, we investigate the β -stability in q-th moment for neutral impulsive stochastic functional differential equations with Markovian switching (NISFDEwMS). Moreover, β -stability in q-th moment is studied by using the Lyapunov techniques and a new Razumikhin-type theorem to prove our result. Finally, we check the main result by a numerical example.

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