Extremum estimates of the \(L^1\)-norm of weights for eigenvalue problems of vibrating string equations based on critical equations

DOI10.3934/dcdsb.2020243zbMath1472.34036OpenAlexW3057081467MaRDI QIDQ2033743

Bing Xie, Jian Gang Qi

Publication date: 17 June 2021

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2020243

zbMATH Keywords

eigenvalueLyapunov-type inequalityextremumcritical equationsvibrating string equations

Mathematics Subject Classification ID

Sturm-Liouville theory (34B24) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (2)

Research on singular Sturm-Liouville spectral problems with a weighted function ⋮ Optimal recovery of potentials for Sturm-Liouville eigenvalue problems with separated boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Extremal values of smallest eigenvalues of Hill's operators with potentials in \(L^1\) balls
• Extremal values of eigenvalues of Sturm-Liouville operators with potentials in \(L^1\) balls
• On nonlinear boundary value problem corresponding to \(N\)-dimensional inverse spectral problem
• On the number and complete continuity of weighted eigenvalues of measure differential equations.
• On the optimization problems of the principal eigenvalues of measure differential equations with indefinite measures
• Sturm-Liouville problems involving distribution weights and an application to optimal problems
• Extremal norms of the potentials recovered from inverse Dirichlet problems
• On certain problems on the maximum and minimum of characteristic values and on the Lyapunov zones of stability
• An Introduction to Banach Space Theory
• Sharp Estimates for the Eigenvalues of Some Differential Equations
• Estimates for the first eigenvalue in some Sturm-Liouville problems
• On inverse spectral problem and generalized Sturm nodal theorem for nonlinear boundary value problems
• Lyapunov-type Inequalities
• Bounds and optimization of the minimum eigenvalue for a vibrating system
• On a Liapounoff Criterion of Stability

This page was built for publication: Extremum estimates of the \(L^1\)-norm of weights for eigenvalue problems of vibrating string equations based on critical equations