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.
|Number of pages||17|
|Journal||Electronic Journal of Qualitative Theory of Differential Equations|
|Publication status||Published - 5 Aug 2019|
- neutral stochastic pantograph equations
- Markovian switching
- existence and uniqueness results
- general decay stability