March 29, 2026Mathematische Nachrichten0 citations
View Full PaperOn Solutions of Non‐Instantaneous Impulsive Functional Differential Equations
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.
Cite This Study
Wu et al. (Fri,) studied this question.