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

1. On the qualitative behaviors of stochastic delay integro-differential equations of second order.

Author

Mahmoud, Ayman M. and Tunç, Cemil

Subjects
*INTEGRO-differential equations, *DELAY differential equations
Abstract

In this paper, we investigate the sufficient conditions that guarantee the stability, continuity, and boundedness of solutions for a type of second-order stochastic delay integro-differential equation (SDIDE). To demonstrate the main results, we employ a Lyapunov functional. An example is provided to demonstrate the applicability of the obtained result, which includes the results of this paper and obtains better results than those available in the literature. [ABSTRACT FROM AUTHOR]

Published
2024
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2. 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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