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Boundedness and stability of nonlinear hybrid neutral stochastic delay differential equation with Lévy jumps under different structures.
- Source :
-
Journal of the Franklin Institute . May2024, Vol. 361 Issue 8, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- This paper investigates the boundedness and stability of a class of nonlinear hybrid neutral stochastic differential delay systems with Lévy jumps and different structures. The coefficients in this system satisfy the local Lipschitz condition and a suitable Khasminskii-type condition, and the state space of the system is separated into two subsets, the existence uniqueness, asymptotic boundedness, and exponential stability of the system are obtained by designing a new Lyapunov function and applying the M-matrix technique as well as dealing with the non-differentiable delay function. Different with the existing work, we not only consider the neutral term, but also the case of the delay function being bounded and non-differentiable. At last, numerical examples are performed to manifest the obtained results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00160032
- Volume :
- 361
- Issue :
- 8
- Database :
- Academic Search Index
- Journal :
- Journal of the Franklin Institute
- Publication Type :
- Periodical
- Accession number :
- 177200628
- Full Text :
- https://doi.org/10.1016/j.jfranklin.2024.106803