* Correspondence: [email protected]. cn Department of Mathematics, Southeast University, Nanjing 210096, P. R. China Full list of author information is available at the end of the article Abstract In this article, by using Razumikhin-type technique, we investigate pth moment exponential stability of stochastic functional differential equations with Markovian switching and delayed impulses. Several ...

In 1991, the first paper on impulsive partial differential equations [1] was published. For an excellent exposition of this paper and its applications, see [2]. The oscillation theory of impulsive partial differential equations have wide applications in such subjects as control theory, meteorology, biology, medicine, engineering, chemistry and physics. Many results can be found [3-14]. However,...

In this paper, a new class of abstract impulsive Riemann-Liouville fractional partial neutral functional differential equations with infinite delay is introduced. We apply the suitable fixed point theorem together with the Hausdorff measure of noncompactness to investigate the existence of mild solutions for these equations in Banach spaces. Finally, two examples to illustrate the applications ...

Abstract In this paper, we investigate the problem of p th-moment stability stochastic functional differential equations with Markovian switching and impulsive control via comparison principle. Employing analysis theory an delay inequality, establish a new principle for control. Using principle, derive sufficient conditions by equations. An example is provided to show effectiveness proposed res...