A perturbed time-dependent second-order sweeping process
Fatine Aliouane, Dalila Azzam-Laouir
TL;DR
This paper proves the existence of solutions for a second-order sweeping process with perturbations by transforming it into a first-order problem, advancing the mathematical understanding of such dynamic systems.
Contribution
It introduces a method to establish solution existence for perturbed second-order sweeping processes through problem transformation.
Findings
Existence of solutions is proven for the perturbed second-order sweeping process.
Transformation to a first-order problem is effective for analysis.
Provides a new approach for analyzing complex dynamic systems.
Abstract
In this paper we prove the existence of solutions for a second order sweeping process with a Lipschitz single valued perturbation by transforming it to a first order problem.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsFractional Differential Equations Solutions · Quantum chaos and dynamical systems · Matrix Theory and Algorithms