Minimizations of positive periodic and Dirichlet eigenvalues for general indefinite Sturm-Liouville problems
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Publication:6049890
DOI10.1016/j.aim.2023.109272MaRDI QIDQ6049890
Zhi Zhang, Jifeng Chu, Gang Meng
Publication date: 11 October 2023
Published in: Advances in Mathematics (Search for Journal in Brave)
Dirichlet eigenvaluessharp boundsmeasure differential equationsperiodic eigenvaluesindefinite potentials
Sturm-Liouville theory (34B24) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Generalized ordinary differential equations (measure-differential equations, set-valued differential equations, etc.) (34A06)
Related Items
Sharp estimates of lowest positive Neumann eigenvalue for general indefinite Sturm-Liouville problems, Minimization of the first positive Neumann-Dirichlet eigenvalue for the Camassa-Holm equation with indefinite potential
Cites Work
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- An inverse spectral problem for a star graph of Krein strings
- The inverse spectral problem for indefinite strings
- Estimates of the first Dirichlet eigenvalue from exit time moment spectra
- Minimization of the zeroth Neumann eigenvalues with integrable potentials
- Estimate and monotonicity of the first eigenvalue under the Ricci flow
- Extremal eigenvalues of measure differential equations with fixed variation
- Eigenvalue ratios for Sturm--Liouville operators
- Minimization of the principal eigenvalue for an elliptic boundary value problem with indefinite weight, and applications to population dynamics
- Continuity in weak topology: higher order linear systems of ODE
- 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
- Volterra-Stieltjes integral equations and generalized ordinary differential expressions
- On the inverse spectral problem for the Camassa-Holm equation
- On the spectral problem for the periodic Camassa-Holm equation
- Geodesic flow on the diffeomorphism group of the circle
- Spectral asymptotics for canonical systems
- On the number and complete continuity of weighted eigenvalues of measure differential equations.
- Dependence of solutions and eigenvalues of measure differential equations on measures
- On principal eigenvalues of measure differential equations and a patchy Neumann eigenvalue problem
- On the absolutely continuous spectrum of generalized indefinite strings
- On the absolutely continuous spectrum of generalized indefinite strings. II
- Continuity and minimization of spectrum related with the periodic Camassa-Holm equation
- Continuous dependence and estimates of eigenvalues for periodic generalized Camassa-Holm equations
- On the optimization problems of the principal eigenvalues of measure differential equations with indefinite measures
- Spectral and scattering theory for ordinary differential equations. Vol. I: Sturm-Liouville equations
- Trace formulas and continuous dependence of spectra for the periodic conservative Camassa-Holm flow
- Calogero-Françoise flows and periodic peakons
- 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
- On the spectral functions of the string
- Sharp Estimates for the Eigenvalues of Some Differential Equations
- A shallow water equation on the circle
- An integrable shallow water equation with peaked solitons
- Minimization of lowest positive periodic eigenvalue for the Camassa–Holm equation with indefinite potential
- The Inverse Spectral Problem for Periodic Conservative Multi-peakon Solutions of the Camassa–Holm Equation
- Extremal problems for eigenvalues of measure differential equations
- Quadratic operator pencils associated with the conservative Camassa-Holm flow
- Optimal maximal gaps of Dirichlet eigenvalues of Sturm–Liouville operators
