On Solutions of Non-Instantaneous Impulsive Functional Differential Equations

Jiankun Wu; Xianlong Fu

doi:10.1002/mana.70132

On Solutions of Non-Instantaneous Impulsive Functional Differential Equations

Jiankun Wu
, Xianlong Fu^*

^*Corresponding author for this work

School of Mathematical Sciences

Hohai University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1152-1181
Number of pages	30
Journal	Mathematische Nachrichten
Volume	299
Issue number	5
DOIs	https://doi.org/10.1002/mana.70132
State	Published - May 2026

Keywords

Kurzweil integral
existence
generalized ordinary differential equation
non-instantaneous impulsive functional differential equation

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10.1002/mana.70132

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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.",

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author = "Jiankun Wu and Xianlong Fu",

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AB - 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.

KW - Kurzweil integral

KW - existence

KW - generalized ordinary differential equation

KW - non-instantaneous impulsive functional differential equation

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U2 - 10.1002/mana.70132

DO - 10.1002/mana.70132

M3 - 文章

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SN - 0025-584X

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SP - 1152

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ER -

On Solutions of Non-Instantaneous Impulsive Functional Differential Equations

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Keywords

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