Results 21 to 30 of about 367 (181)

Zeta Determinants of Sturm—Liouville Operators [PDF]

Functional Analysis and Its Applications, 2020
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A Class of Singular Sturm–Liouville Problems with Discontinuity and an Eigenparameter-Dependent Boundary Condition

Mathematics, 2022
In this paper, we study a singular Sturm–Liouville problem with an eigenparameter-dependent boundary condition and transmission conditions at two interior points.
Jinming Cai, Zhaowen Zheng, Kun Li
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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
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Fractional analogue of Sturm–Liouville operator

Documenta Mathematica, 2016
In this paper we study a symmetric fractional differential operator of order 2\alpha , (1/2<\alpha<1) .
Niyaz Tokmagambetov, Berikbol T. Torebek
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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
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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 $L_2(\tilde a,\tilde b)$
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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.
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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
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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
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On the Existence of Solutions of Dynamic Equations on Time Scales in Banach Spaces

Mathematical Methods in the Applied Sciences, EarlyView.
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
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