Abstract
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.
Original language | English |
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Pages (from-to) | 1-17 |
Number of pages | 17 |
Journal | Electronic Journal of Qualitative Theory of Differential Equations |
Volume | 52 |
DOIs | |
Publication status | Published - 5 Aug 2019 |
Keywords
- neutral stochastic pantograph equations
- Markovian switching
- existence and uniqueness results
- general decay stability