Liang, Qing Analysis on the stability in distribution of a class of impulsive stochastic functional differential equations. (Chinese. English summary) Zbl 1463.34309 J. Math., Wuhan Univ. 40, No. 2, 237-244 (2020). Summary: In this paper, we study the stability in distribution of a class of impulsive stochastic functional differential equations. By means of the weak convergence approach, the Itô’s formula and some stochastic analysis techniques, we obtain a sufficient condition for a class of impulsive stochastic functional differential equations to be stable in distribution and present an example to illustrate the effectiveness of the result which generalizes the corresponding result of the stability of stochastic functional differential equations. MSC: 34K50 Stochastic functional-differential equations 34K20 Stability theory of functional-differential equations 34K45 Functional-differential equations with impulses Keywords:stochastic functional-differential equation; stability in distribution; impulse; Itô’s formula PDFBibTeX XMLCite \textit{Q. Liang}, J. Math., Wuhan Univ. 40, No. 2, 237--244 (2020; Zbl 1463.34309) Full Text: DOI