Stability of the analytic and numerical solutions for impulsive differential equations

• Autores: Hui Liang, M.H. Song, M.Z. Liu
• Localización: Applied numerical mathematics, ISSN-e 0168-9274, Vol. 61, Nº. 11, 2011, págs. 1103-1113
• Idioma: inglés
• DOI: 10.1016/j.apnum.2010.12.005
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• Resumen

  • 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 θ-methods are obtained. Finally, some numerical experiments are given.