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On Solutions of Non‐Instantaneous Impulsive Functional Differential Equations

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  • Jiankun Wu
  • Xianlong Fu

Abstract

In this paper, we consider non‐instantaneous impulsive functional differential equations (NIFDEs for short). We obtain results on the existence, uniqueness, and continuous dependence of solutions for NIFDEs. Our method of the proof is based on the theory of generalized ordinary differential equations (GODEs) and the Kurzweil integral. An example from Pharmacokinetics is provided to illustrate the main results.

Suggested Citation

  • Jiankun Wu & Xianlong Fu, 2026. "On Solutions of Non‐Instantaneous Impulsive Functional Differential Equations," Mathematische Nachrichten, Wiley Blackwell, vol. 299(5), pages 1152-1181, May.
    • Handle: RePEc:bla:mathna:v:299:y:2026:i:5:p:1152-1181
    DOI: 10.1002/mana.70132
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