| Abstract: |
The topic of this talk concerns our recent studies on optimal strategies for differential equations with distributed delay. By employing topological methods and tools from multivalued analysis, we establish the existence of controlled trajectories that minimize or maximize a cost functional associated with the system. The framework allows for the presence of impulses and feedback controls. The results apply to models arising in the natural and applied sciences, such as population dynamics, driven by differential equations with Volterra type distributed delays involving fading memory kernels or with functional unbounded delay.
Bibliography:
[1] Benedetti I., Rubbioni P.; Impulsive delay differential inclusions applied to optimization problems, arXiv:2512.21275, pp. 1-20
[2] Rubbioni, P.; Optimal Solutions for a Class of Impulsive Differential Problems with Feedback Controls and Volterra-Type Distributed Delay: A Topological Approach. Mathematics 2024, 12, 2293
[3] Rubbioni P.; Existence of optimal periodic strategies in a model with nonlocal spatiotemporal dispersal, J. Math. Anal. Appl. 556 (2026) 130095 |
|