Results 51 to 60 of about 567,385 (243)

On the estimations of the small eigenvalues of Sturm–Liouville operators with periodic and antiperiodic boundary conditions

open access: yesBoundary Value Problems, 2018
We give a new approach for the estimations of the eigenvalues of non-self-adjoint Sturm–Liouville operators with periodic and antiperiodic boundary conditions. Moreover, we give error estimations, and finally we present some numerical examples.
Cemile Nur
doaj   +1 more source

An inverse problem for Sturm‐Liouville operators on trees with partial information given on the potentials [PDF]

open access: yesMathematical methods in the applied sciences, 2017
We consider Sturm‐Liouville operators on geometrical graphs without cycles (trees) with singular potentials from the class W2−1 . We suppose that the potentials are known on a part of the graph, and study the so‐called partial inverse problem, which ...
N. Bondarenko
semanticscholar   +1 more source

An Inverse Problem for a Sturm-Liouville Operator

open access: yesJournal of Mathematical Analysis and Applications, 1994
Consider an identification problem for the coefficient \(q(x)\) in the differential equation (1) \(-u''(x) + q(x) u(x) = \psi (x ...
Lowe, Bruce D., Rundell, William
openaire   +2 more sources

Propagation of internal gravity waves: Optimal vertical discretisation and grid design based on numerical error analysis

open access: yesQuarterly Journal of the Royal Meteorological Society, EarlyView.
An energy‐conserving discrete framework for the vertical discretisation of stratified ocean models is developed using internal gravity‐wave theory. A β$$ \beta $$‐indexed family of schemes is analysed through perturbation theory, revealing optimal parameter choices and grid designs that reduce truncation errors significantly.
Gabriel Derrida   +3 more
wiley   +1 more source

On the spectrum of singular Hahn-Sturm-Liouville operators

open access: yes, 2023
In this paper, we study the spectrum of Hahn-Sturm-Liouville operators. In this context, it is shown that the regular symmetric Hahn-Sturm-Liouville operator is semi-bounded from below. Moreover, we give some conditions for the self-adjoint singular Hahn-
Allahverdiev, Bilender P.   +1 more
core   +1 more source

Embedded eigenvalues of Sturm Liouville operators [PDF]

open access: yesCommunications in Mathematical Physics, 1991
The behaviour of embedded eigenvalues for Sturm-Liouville problems in \([0,\infty)\) under local perturbations is studied. If the spectral function has a strictly positive derivative then the embedded eigenvalues either disappear or remain fixed. In this case local perturbations cannot add eigenvalues in the continuous spectrum.
openaire   +2 more sources

On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 15358-15384, 15 September 2026.
ABSTRACT In this paper we address the question of solvability of dynamic equations on time scales in Banach spaces. In particular, our main theorem extends the result for classical differential equations in Banach spaces of Banaś and Goebel established in [5], to an arbitrary time scale.
Dušan Oberta
wiley   +1 more source

Analytic investigation of rotating holographic superconductors

open access: yesEuropean Physical Journal C: Particles and Fields, 2019
In this paper we have investigated, in the probe limit, s-wave holographic superconductors in rotating $$AdS_{3+1}$$ AdS3+1 spacetime using the matching method as well as the Stürm–Liouville eigenvalue approach.
Ankur Srivastav, Sunandan Gangopadhyay
doaj   +1 more source

Lax Pairs for BKM Hierarchy

open access: yesStudies in Applied Mathematics, Volume 157, Issue 3, September 2026.
ABSTRACT We construct Lax pairs for the recently (2023) introduced integrable PDE systems known as the BKM equations. As many known and previously studied integrable systems are special cases of the BKM systems, our construction provides Lax pairs for many integrable hierarchies, including previously studied ones such as Camassa–Holm, Dullin–Gottwald ...
Andrey Yu. Konyaev, Vladimir S. Matveev
wiley   +1 more source

A Survey of Nonlinear Sturm-Liouville Equations [PDF]

open access: yes, 2013
[[abstract]]This note gives a brief survey of existence, uniqueness and bifurcation results for nonlinear Sturm-Liouville equations. Early in 1960, Nehari made an interesting proposal to study solutions with a prescribed number of nodes.
Chen, Chao-Nien
core  

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