Jihed Hedhly

collaborators

3 papers

math.SP2021

Eigenvalue ratios for vibrating String equations with concave densities

Jihed Hedhly

In this paper, we prove the optimal lower bound $\frac{λ _{n}}{λ _{m}} \geq (\frac{n}{m})^{2}$ of vibrating string $- y^{''} = λ ρ (x) y,$ with Dirichlet boundary conditions for concave densities.…

math.AP2021

Eigenvalue Ratios for vibrating string equations with single-well densities

Jihed Hedhly

In this paper, we prove the optimal upper bound $\frac{λ _{n}}{λ _{m}} \leq (\frac{n}{m})^{2}$ of vibrating string $- y^{''} = λ ρ (x) y,$ with Dirichlet boundary conditions for single-well densit…

math.SP2017

Upper Bound For The Ratios Of Eigenvalues Of Schrodinger Operators With Nonnegative Single-Barrier Potentials

Jamel Ben Amara, Jihed Hedhly

In this paper we prove the optimal upper bound $\frac{λ _{n}}{λ _{m}} \leq \frac{n ^{2}}{m ^{2}}$ $(λ_{n} > λ_{m} \geq 11 x \in [0, 1] sup q (x))$ for one-dimensional Schrodinge…