Stability of the analytic and numerical solutions for impulsive differential equations

Authors:
Hui Liang;M. H. Song;M. Z. Liu
Affiliations:
Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, PR China;Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, PR China;Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, PR China
Venue:
Applied Numerical Mathematics
Year:
2011

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Abstract

This paper deals with the stability analysis of the analytic and numerical solutions of impulsive differential equations. In particular, the linear equation with variable coefficients and the nonlinear equation are considered. The stability conditions of the analytic solutions of these impulsive differential equations and the numerical solutions of the @q-methods are obtained. Finally, some numerical experiments are given.