Journal
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 285, Issue -, Pages 32-44Publisher
ELSEVIER
DOI: 10.1016/j.cam.2015.01.034
Keywords
Impulsive delay differential equation; Runge-Kutta method; Exponentially stable
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Funding
- National Natural Science Foundation of China [11071050]
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This paper is concerned with exponential stability of a class of linear impulsive delay differential equations (IDDEs). Exponential stability of this kind of equations is studied by the properties of delay differential equations (DDEs) without impulsive perturbations. When different delay differential equations (DDEs) without impulsive perturbations are chosen, different sufficient conditions for exponential stability of the linear impulsive delay differential equations (IDDEs) are provided. Numerical methods for this kind of equations are constructed. The convergence and exponential stability of the numerical solutions are studied and some experiments are given. (C) 2015 Elsevier B.V. All rights reserved.
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