Sturm separation theorems for a fourth-order equation on a graph

RC Kulaev, AA Urtaeva - Mathematical Notes, 2022 - Springer
In 1836, Sturm (see [1]) discovered remarkable properties of eigenvalues and
eigenfunctions of second-order differential operators of special form. These properties …

Oscillatory properties of selfadjoint boundary problems of the fourth order

A Vladimirov, A Shkalikov - St. Petersburg Mathematical Journal, 2024 - ams.org
Oscillatory properties of selfadjoint boundary problems of the fourth order Page 1 Algebra i
analiz St. Petersburg Math. J. Tom 35 (2023), 1 Vol. 35 (2024), No. 1, Pages 83–100 https://doi.org/10.1090/spmj/1794 …

[PDF][PDF] Computation of the regularized Green's function for vibration transport in two-layered rods

S Faydaoglu, VG Yakhno - Journal of Modern Technology …, 2021 - jomardpublishing.com
The main topic of the article is the partial differential equation of the transverse oscillation in
composite materials. An approach for deriving the nonstationary Green's functions of the …

Модель деформаций системы стилтьесовских струн с нелинейным условием

МБ Зверева - Вестник Удмуртского университета. Математика …, 2022 - mathnet.ru
Здесь функции ui (x) определяют деформации каждой из струн; Fi (x) описывают
распределение внешней нагрузки; pi (x) характеризуют упругость струн; Qi (x) …

On the problem of oscillation properties of positive differential operators with singular coefficients

AA Vladimirov - Mathematical Notes, 2016 - Springer
On the Problem of Oscillation Properties of Positive Differential Operators with Singular
Coefficients Page 1 ISSN 0001-4346, Mathematical Notes, 2016, Vol. 100, No. 6, pp. 790–795 …

Accurate Estimations of Any Eigenpairs of N-th Order Linear Boundary Value Problems

P Almenar, L Jódar - Mathematics, 2021 - mdpi.com
This paper provides a method to bound and calculate any eigenvalues and eigenfunctions
of n-th order boundary value problems with sign-regular kernels subject to two-point …

[HTML][HTML] Модель деформаций стержня–консоли с ограничителем на смещение

МБ Зверева, МИ Каменский… - … математика & Физика, 2024 - cyberleninka.ru
В настоящей работе исследуется модель деформаций сингулярного стержня–консоли
под воздействием внешней силы. При этом предполагается, что один из концов …

An expansion result for the equation of transverse vibration of two-layered composite

S Faydaoglu - … on Analysis and Applied Mathematics (ICAAM …, 2018 - ui.adsabs.harvard.edu
This paper is concerned with the eigenfunctions expansions of fourth-order differential
equations with impulse. Applying the Fourier series approach we find a solution of this …