Spectral properties of a fourth‐order differential operator on a network
R Kulaev, A Urtaeva - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
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 …
network, which is a model of the Euler‐Bernoulli beam system. We propose a new approach …
On the positive invertibility of a differential operator on a graph
R Kulaev, S Karkuzaev - Applicable Analysis, 2024 - Taylor & Francis
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 …
real parameter λ. The operator L λ is connected with a model of the Euler–Bernoulli beam …
On the multiplicity of eigenvalues of a fourth-order differential operator on a graph
RC Kulaev, AA Urtaeva - Differential Equations, 2022 - Springer
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 …
differential equation on a geometric graph modeling the elastic deformations of a system of …
On the disconjugacy property of an equation on a graph
RC Kulaev - Siberian Mathematical Journal, 2016 - Springer
Under study is the disconjugacy theory of forth order equations on a geometric graph. The
definition of disconjugacy is given in terms of a special fundamental system of solutions to a …
definition of disconjugacy is given in terms of a special fundamental system of solutions to a …