dynamical systems 1inverse spectral problems 1potential reconstruction 1quantitative analysis 1sturm-liouville operators 1uniqueness results 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.CA2026
A dynamical system framework yielding quantitative inverse spectral results for Sturm-Liouville operators
Yuchao He, Yonghui Xia, Meirong Zhang
The paper introduces a dynamical‑system framework that provides quantitative results for the inverse spectral problem of reconstructing a Sturm‑Liouville potential from a finite se…
math.DS2025
Rotation Numbers and Geometric Invariants in Bicycle Dynamics
Diantong Li, Qiaoling Wei, Meirong Zhang +1
We study planar bicycle dynamics via the rotation number function associated with a closed front track and bicycle length R. We prove that mode-locking plateaus occur only at integ…
math.FA2024
Asymptotic stability of the spectra of generalized indefinite strings
Guixin Xu, Meirong Zhang, Zhe Zhou
This paper focuses on the asymptotic stability of the spectra of generalized indefinite strings (GISs). A unitarily equivalent linear relation is introduced for GISs. It is shown t…