Almost sure stability with general decay rate of neutral stochastic pantograph equations with Markovian switching

oleh: Wei Mao, Liangjian Hu, Xuerong Mao

Format: Article
Diterbitkan: University of Szeged 2019-08-01

Deskripsi

This paper focuses on the general decay stability of nonlinear neutral stochastic pantograph equations with Markovian switching (NSPEwMSs). Under the local Lipschitz condition and non-linear growth condition, the existence and almost sure stability with general decay of the solution for NSPEwMSs are investigated. By means of M-matrix theory, some sufficient conditions on the general decay stability are also established for NSPEwMSs.