What question did this study set out to answer?

The aim is to investigate the existence, uniqueness, and continuous dependence of solutions for non-instantaneous impulsive functional differential equations.

March 29, 2026Mathematische Nachrichten0 citations

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On Solutions of Non‐Instantaneous Impulsive Functional Differential Equations

JWJian Wu XFXianlong Fu

Key Points

The aim is to investigate the existence, uniqueness, and continuous dependence of solutions for non-instantaneous impulsive functional differential equations.
Analyzed non-instantaneous impulsive functional differential equations
Utilized the theory of generalized ordinary differential equations
Applied the Kurzweil integral for proofs
Provided a pharmacokinetics example to illustrate results
Demonstrated existence of solutions under certain conditions
Showed uniqueness of solutions
Established continuous dependence of solutions on initial conditions

Abstract

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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Cite This Study

Wu et al. (Fri,) studied this question.

synapsesocial.com/papers/69c8c35cde0f0f753b39e261 https://doi.org/https://doi.org/10.1002/mana.70132

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