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Your search keyword '"*DELAY differential equations"' showing total 2 results
2 results on '"*DELAY differential equations"'

1. Stability of impulsive stochastic functional differential equations with delays.

Author

Guo, Jingxian, Xiao, Shuihong, and Li, Jianli

Subjects
*DELAY differential equations, *STOCHASTIC differential equations, *FUNCTIONAL differential equations, *IMPULSIVE differential equations, *STABILITY criterion, *LYAPUNOV functions
Abstract

In this paper, we consider the global asymptotical stability of stochastic functional differential equations with impulsive effects. First, by constructing the Lyapunov function, some stability criteria of impulsive stochastic functional differential equations are established. Second, we propose an application to investigate the effectiveness of the obtained results. [ABSTRACT FROM AUTHOR]

Published
2024
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2. Boundedness and stability of nonlinear hybrid neutral stochastic delay differential equation with Lévy jumps under different structures.

Author

Song, Ruili, Zhao, Jiayu, and Zhu, Quanxin

Subjects
*STOCHASTIC differential equations, *HYBRID systems, *EXPONENTIAL stability, *DELAY differential equations, *LYAPUNOV functions, *MATRICES (Mathematics)
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]

Published
2024
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