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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.

mathematical problems in engineering

<math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi>β</mi> </math>-Stability in <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <mi>q</mi> </math>-th Moment of Neutral Impulsive Stochastic Functional Differential Equations with Markovian Switching

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

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