Results 31 to 40 of about 2,882 (218)

Unconditional basicity of eigenfunctions’ system of Sturm-Liouville operator with an involutional perturbation

Қарағанды университетінің хабаршысы. Математика сериясы, 2018
In this paper the question on unconditional basicity of the system of eigenfunctions of the involutive perturbed Sturm-Liouville operator is investigated.
A.A. Sarsenbi
doaj   +1 more source

Spectral analysis of the matrix Sturm–Liouville operator

Boundary Value Problems, 2019
The self-adjoint matrix Sturm–Liouville operator on a finite interval with a boundary condition in general form is studied. We obtain asymptotic formulas for the eigenvalues and the weight matrices of the considered operator.
Natalia P. Bondarenko
doaj   +1 more source

Random Sturm–Liouville operators

Applied Mathematics Letters, 2011
Selfadjoint Sturm-Liouville operators $H_ω$ on $L_2(a,b)$ with random potentials are considered and it is proven, using positivity conditions, that for almost every $ω$ the operator $H_ω$ does not share eigenvalues with a broad family of random operators and in particular with operators generated in the same way as $H_ω$ but in $L_2(\tilde a,\tilde b)$
openaire   +2 more sources

Embedded eigenvalues of Sturm Liouville operators [PDF]

Communications 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

Heat kernel asymptotics for operator valued Sturm-Liouville problems [PDF]

, 1988
Heat kernel asymptotics for operator valued Sturm-Liouville problems. - In: Analysis. 8. 1988. S.
Brüning, Jochen
core   +1 more source

On the dissipative conformable fractional singular Sturm-Liouville operator [PDF]

, 2023
In this study, a dissipative conformable fractional singular Sturm–Liouville operator is studied.
Allahverdiev, Bilender P., Yalçınkaya, Yüksel, Tuna, Hüseyin   +2 more
core  

Periodic Solutions of the Euler-Bernoulli Equation for Vibrations of a Beam with Fixed Ends

Современные информационные технологии и IT-образование, 2020
The problem of time-periodic solutions of the quasilinear equation of forced vibrations of an I-beam with fixed ends is investigated. The nonlinear term and the right-hand side of the equation are time-periodic functions.
Igor Rudakov, Mikhail Zinovyev
doaj   +1 more source

Inverse spectral problems for Sturm–Liouville operators with partial information [PDF]

, 2014
In this paper, we study the inverse spectral problems for Sturm–Liouville operators with Robin boundary conditions and show that if the potential q on the interval [0,α] for some α∈[0,1) is given a priori, then the potential q on the whole interval [0,1]
Wang, Yu-Ping; Shieh, Chung-Tsun; Ma, Yan-Ting, Wang, Yu Ping   +1 more
core   +1 more source

Wintner-type nonoscillation theorems for conformable linear Sturm-Liouville differential equations [PDF]

Opuscula Mathematica
In this study, we addressed the nonoscillation of th Sturm-Liouville differential equation with a differential operator, which corresponds to a proportional-derivative controller. The equation is a conformable linear differential equation. A Wintner-type
Kazuki Ishibashi
doaj   +1 more source

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

Quarterly 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, Laurent Debreu, Florian Lemarié, Jérome Chanut   +3 more
wiley   +1 more source