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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. Stability of impulsive functional differential equations via the Liapunov functional

Author

Luo, Zhiguo and Shen, Jianhua

Subjects
*FUNCTIONAL differential equations, *LYAPUNOV functions, *STABILITY (Mechanics), *DELAY differential equations, *MATHEMATICAL analysis, *MATHEMATICS
Abstract

Abstract: In this work, we investigate the stability of a class of impulsive functional differential equations. Some general stability theorems are obtained. Our results can be applied to finite delay impulsive systems or infinite delay impulsive systems or impulsive systems involving both finite and infinite delays, in a unified way. Examples are also given to illustrate that applying our theorems yields better conclusions than the results in the literature. [Copyright &y& Elsevier]

Published
2009
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