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Zhang, G. L.; Song, M. H.; Liu, M. Z.

Asymptotic stability of a class of impulsive delay differential equations. (English) Zbl 1255.34079

J. Appl. Math. 2012, Article ID 723893, 9 p. (2012).
Summary: This paper is concerned with a class of linear impulsive delay differential equations. The asymptotic stability of analytic solutions is studied by means of delay differential equations without impulsive perturbations. New numerical methods for this class of equations are constructed.

Cited in 8 Documents

MSC:

34K20 Stability theory of functional-differential equations
34K45 Functional-differential equations with impulses
34K06 Linear functional-differential equations
34K28 Numerical approximation of solutions of functional-differential equations (MSC2010)
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\textit{G. L. Zhang} et al., J. Appl. Math. 2012, Article ID 723893, 9 p. (2012; Zbl 1255.34079)
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References:

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