In this paper, we study spectral properties of a fourth‐order differential operator on a
network, which is a model of the Euler‐Bernoulli beam system. We propose a new approach …

In the present paper, we investigate a problem, describing the deformations process for the
Stieltjes strings system located along a geometric star-shaped graph under the influence of …

In this article, we study a fourth-order differential operator L λ on a graph, depending on a
real parameter λ. The operator L λ is connected with a model of the Euler–Bernoulli beam …

We study the properties of eigenvalues of a boundary value problem for a fourth-order
differential equation on a geometric graph modeling the elastic deformations of a system of …

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 …

A fourth-order nonlinear differential equation on a network that is a model of a system of
Euler–Bernoulli rods is considered. Based on the monotone iteration method, the existence …

The paper studies a model of a planar beam structure described by a fourth-order boundary
value problem on a geometric graph. Elastic-hinge joint conditions are posed at the interior …

Здесь функции ui (x) определяют деформации каждой из струн; Fi (x) описывают
распределение внешней нагрузки; pi (x) характеризуют упругость струн; Qi (x) …

Lower Bounds for the Minimum Eigenvalue of the bi-Laplacian on a Graph | Differential
Equations Skip to main content Springer Nature Link Account Menu Find a journal Publish …

Mathematical models described in terms of a branching argument, ie, an argument that
takes values from some geometric graph arise in the analysis of processes in complex …