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On Regulated Solutions of Impulsive Differential Equations with Variable Times

Author

Listed:
  • Diana Caponetti

    (Department of Mathematics and Computer Science, University of Palermo, Via Archirafi 34, 90123 Palermo, Italy)

  • Mieczysław Cichoń

    (Faculty of Mathematics and Computer Science, A. Mickiewicz University, ul. Uniwersytetu Poznańskiego 4, 61-614 Poznań, Poland)

  • Valeria Marraffa

    (Department of Mathematics and Computer Science, University of Palermo, Via Archirafi 34, 90123 Palermo, Italy)

Abstract

In this paper we investigate the unified theory for solutions of differential equations without impulses and with impulses, even at variable times, allowing the presence of beating phenomena, in the space of regulated functions. One of the aims of the paper is to give sufficient conditions to ensure that a regulated solution of an impulsive problem is globally defined.

Suggested Citation

  • Diana Caponetti & Mieczysław Cichoń & Valeria Marraffa, 2020. "On Regulated Solutions of Impulsive Differential Equations with Variable Times," Mathematics, MDPI, vol. 8(12), pages 1-15, December.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:12:p:2164-:d:457024
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