Sharp estimates of lowest positive Neumann eigenvalue for general indefinite Sturm-Liouville problems
DOI10.1016/j.jde.2023.11.021OpenAlexW4389320348MaRDI QIDQ6181287
Publication date: 2 January 2024
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2023.11.021
Sturm-Liouville problemsharp boundsmeasure differential equationsNeumann eigenvaluesindefinite potentials
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) Generalized ordinary differential equations (measure-differential equations, set-valued differential equations, etc.) (34A06)
Cites Work
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- The inverse spectral problem for indefinite strings
- Minimization of the zeroth Neumann eigenvalues with integrable potentials
- Extremal eigenvalues of measure differential equations with fixed variation
- 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
- On the inverse spectral problem for the Camassa-Holm equation
- 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
- 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
- An integrable shallow water equation with peaked solitons
- Minimization of lowest positive periodic eigenvalue for the Camassa–Holm equation with indefinite potential
- Extremal problems for eigenvalues of measure differential equations
- Quadratic operator pencils associated with the conservative Camassa-Holm flow
- Minimizations of positive periodic and Dirichlet eigenvalues for general indefinite Sturm-Liouville problems
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