4 papers · 1 filter
A dynamical system framework yielding quantitative inverse spectral results for Sturm-Liouville operators
Yuchao He, Yonghui Xia, Meirong Zhang
This paper establishes a dynamical-system framework that yields quantitative results for the inverse optimal spectral problem of reconstructing a potential from finite ob…
A novel and application-oriented inverse nodal problem for Sturm-Liouville operators
Yuchao He, Mengda Wu, Yonghui Xia +1
This paper develops a methodological framework for addressing a novel and application-oriented inverse nodal problem in Sturm-Liouville operators, having significant applications i…
Constant vorticity two-layer water flows in the -plane approximation with centripetal forces
Yuchao He, Yongli Song, Yonghui Xia
The constant vorticity {\bf two-layer water wave} in the -plane approximation with centripetal forces is investigated in this paper. Different from the works (Chu and Yang\cite[…
Floquet multipliers and the stability of periodic linear differential equations: a unified algorithm and its computer realization
Mengda Wu, Yonghui Xia, Ziyi Xu
Floquet multipliers (characteristic multipliers) play significant role in the stability of the periodic equations. Based on the iterative method, we provide a unified algorithm to…