The sharp conditions of the uniqueness for inverse nodal problems
The sharp conditions of the uniqueness for inverse nodal problems is a scholarly work, published in 2019 in ''Journal of Differential Equations''. The main subjects of the publication include glossary of graph theory terms, -, mathematical analysis, pure mathematics, combinatorics, boundary, inverse problem, spectral theory, multiscale modeling, Nodal growth differentiation factor, boundary value problem, applied mathematics, mathematics, cardinal point, Modified nodal analysis, and inverse. The authors prove that the potential and boundary parameters can be uniquely determined by a dense nodal subset contained on a1,a2(⊂0,1) with 1/2∈(a1,a2) through two cases of a1=0 and a1>0, where in the latter case the nodal subset also need to be paired.