3 papers
math.DS2026
Characterization of Maximizers for Sums of the First Two Eigenvalues of Sturm-Liouville Operators
Gang Meng, Yuzhou Tian, Bing Xie +1
In this paper we study the maximization of the sum of the first two Dirichlet eigenvalues for Sturm-Liouville operators with potentials in the noncompact space . We prove that…
math.SP2025
Explicit sharp bounds for all nodes of Sturm-Liouville operators with potentials in balls
Jifeng Chu, Shuyuan Guo, Gang Meng +1
For the classical Sturm-Liouville operators, we prove the sharp bounds for all nodes of eigenfunctions by regarding these nodes as nonlinear functionals of potential $q\in L^1[0,1]…
math.CA2025
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…