Approximate Controllability for Nonautonomous Integrodifferential Equations with State-dependent Delay
Optimization and Control
2024-12-06 v2 Dynamical Systems
Abstract
We study the existence of mild solutions and the approximate controllability for nonautonomous integrodifferential equations with state-dependent delay. We assume the approximate controllability of the linear part, and then we use resolvent operator theory to prove the approximate controllability of the nonlinear case. An example of the one-dimensional heat equation with memory is given to illustrate the basic idea our results.
Cite
@article{arxiv.2403.02326,
title = {Approximate Controllability for Nonautonomous Integrodifferential Equations with State-dependent Delay},
author = {Mamadou Abdoul Diop and Mohammed Elghandouri and Khalil Ezzinbi},
journal= {arXiv preprint arXiv:2403.02326},
year = {2024}
}