Eigenvalue ratios for vibrating string equations with single-well densities
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2021.11.006
Abstract: In this paper, we prove the optimal upper bound λn λm ≤ ( n m )2 of vibrating string −y = λρ(x)y, with Dirichlet boundary conditions for single-well densities. The proof is based on the… read more here.
Keywords: vibrating string; eigenvalue ratios; ratios vibrating; single well ... See more keywords
Eigenvalue ratios for Sturm–Liouville problems
Sign Up to like & getrecommendations! Published in 2024 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0153761
Abstract: In this paper, we prove the optimal lower bound λ2λ1≥4 of the Sturm-Liouville problem −(p(x)y′)′ + q(x)y = λρ(x)y, with Dirichlet boundary conditions for single-well potential q and single-barrier function pρ on [0,1]. In the… read more here.
Keywords: ratios sturm; eigenvalue ratios; liouville problems; sturm liouville ... See more keywords