| Abstract: |
| Differential equations with memory and impulsive effects arise in a variety of physical and biological models. When formulated in appropriate function spaces, classes of distributed-delay models can be represented as integro-differential or functional differential equations. We establish general conditions guaranteeing existence, uniqueness, uniform asymptotic stability, and exponential stability of solutions on the half-line, even under impulsive perturbations. Applications illustrate these results in population dynamics and flexible robotic arms with integral and evanescent memory.
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\begin{thebibliography}{999}
\bibitem{cmr25}
Cardinali T.; Matucci S.; Rubbioni P.; Uniform asymptotic stability of a PDE`s system arising from a flexible robotics model, Math. Methods Appl. Sci. 48 (2025), no. 11, 11242-11251
\bibitem{cmr26}
Cardinali T., Matucci S., Rubbioni P., Stability of solutions in impulsive integro-differential equations with applications to fading memory systems, Commun. Nonlinear Sci. Numer. Simulat. 154 (2026) 109588
\bibitem{r21}
Rubbioni, P.; Asymptotic stability of solutions for some classes of impulsive differential equations with distributed delay, Nonlinear Anal. Real World Appl. 61 (2021), 103324
\end{thebibliography}
} |
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