5 problems

Let be the finite-domain discrete problem with fixed ends or zero Dirichlet boundary conditions, and let $\mathcal{L}_h$ be a regular Sturm–Liouville operator. A dispersion relatio…

Let the transformed/rescaled eigenvalue problem be the differential eigenvalue problem in, and let the sine-transform-based differentiation be the discretisation defined in. For a…

Let $s$ be the continuous function appearing in the eigenvalue-counting asymptotics … for a Sturm–Liouville problem with a non-constant weight whose primitive is arithmetically sel…

Let $D$ be the bounded domain and consider the fractional Sturm–Liouville eigenvalue problem with fractional order ${\alpha}\in(0,2]$ and $q(x)\equiv 0$. Denote its eigenvalues, co…

Let $F$ be the finite-dimensional map formed from the first $N$ eigenvalues and corresponding data of the inverse fractional Sturm–Liouville problem, let $\boldsymbol{\times}$ deno…