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Eigenvibrations of a beam with two mechanical resonators attached to the ends [PDF]

open access: yesMATEC Web of Conferences, 2020
The fourth-order ordinary differential spectral problem describing vertical eigenvibrations of a beam with two mechanical resonators attached to the ends is studied. This problem has positive simple eigenvalues and corresponding eigenfunctions. We define
Koronova L. N.   +3 more
doaj   +1 more source

Asymptotic properties of the problem on eigenvibrations of the bar with attached load

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2020
The ordinary second-order differential eigenvalue problem describing eigenvibrations of an elastic bar with a load attached to its end was investigated. The problem has an increasing sequence of positive simple eigenvalues with a limit point at infinity.
A.A. Samsonov   +2 more
doaj   +1 more source

Charmonium Properties Using the Discrete Variable Representation (DVR) Method

open access: yesAdvances in High Energy Physics, 2021
The Schrödinger equation is solved numerically for charmonium using the discrete variable representation (DVR) method. The Hamiltonian matrix is constructed and diagonalized to obtain the eigenvalues and eigenfunctions.
Bhaghyesh A.
doaj   +1 more source

Sturm-Liouville Problem with Mixed Boundary Conditions for a Differential Equation with a Fractional Derivative and Its Application in Viscoelasticity Models

open access: yesAxioms, 2023
In this study, we obtained a system of eigenfunctions and eigenvalues for the mixed homogeneous Sturm-Liouville problem of a second-order differential equation containing a fractional derivative operator.
Ludmila Kiryanova, Tatiana Matseevich
doaj   +1 more source

A Study of the Eigenfunctions of the Singular Sturm–Liouville Problem Using the Analytical Method and the Decomposition Technique

open access: yesMathematics, 2020
The history of boundary value problems for differential equations starts with the well-known studies of D. Bernoulli, J. D’Alambert, C. Sturm, J. Liouville, L. Euler, G. Birkhoff and V. Steklov.
Oktay Sh. Mukhtarov, Merve Yücel
doaj   +1 more source

BOUNDARY VALUE PROBLEM FOR DIFFERENTIAL EQUATION WITH FRACTIONAL ORDER DERIVATIVES WITH DIFFERENT ORIGINS [PDF]

open access: yesVestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2015
We study a spectral problem for an ordinary differential equation with composition of fractional order differentiation operators in Riemann-Liouville and Caputo senses with different origins. We prove that for the problem under study there exist infinite
L.M. Eneeva
doaj   +1 more source

Asymptotic Analysis of Boundary-Value Problems for the Laplace Operator with Frequently Alternating Type of Boundary Conditions

open access: yesСовременная математика: Фундаментальные направления, 2021
This work, which can be considered as a small monograph, is devoted to the study of twoand three-dimensional boundary-value problems for eigenvalues of the Laplace operator with frequently alternating type of boundary conditions.
D. I. Borisov
doaj   +1 more source

Eigenvibrations of a bar with load

open access: yesMATEC Web of Conferences, 2017
The differential eigenvalue problem describing eigenvibrations of an elastic bar with load is investigated. The problem has an increasing sequence of positive simple eigenvalues with limit point at infinity.
Samsonov Anton A.   +2 more
doaj   +1 more source

Investigation of eigenvibrations of a loaded bar

open access: yesMATEC Web of Conferences, 2018
The differential eigenvalue problem describing eigenvibrations of a bar with fixed ends and attached load at an interior point is investigated. This problem has an increasing sequence of positive simple eigenvalues with limit point at infinity.
Samsonov Anton A., Solov’ev Sergey I.
doaj   +1 more source

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