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Monotone iterative technique for impulsive differential equations with time variables

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Abstract

In this paper, we established the general comparison prinples for IVP of impulsive differential equations with time variables, which strictly extend and improve the previous comparison results obtained by V.Lakes.et.al. and S.K.Kaul([3]–[7]). With the general comparison results, we constructed the monotone iterative sequences of solutions for IVP of such equations which converges the maximal and minimal solutions, repectively.

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Authors and Affiliations

  1. Department of Mathematics, Shandong Normal University, Jinan, 250014, Shandong, P.R.China

    Jiangang Qi & Yansheng Liu

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  1. Jiangang Qi
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  2. Yansheng Liu
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Qi, J., Liu, Y. Monotone iterative technique for impulsive differential equations with time variables. Korean J. Comput. & Appl. Math. 7, 419–432 (2000). https://doi.org/10.1007/BF03012203

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  • DOI: https://doi.org/10.1007/BF03012203

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