[HTML][HTML] Some properties of eigenfunctions for the equation of vibrating beam with a spectral parameter in the boundary conditions

ZS Aliyev, GT Mamedova - Journal of Differential Equations, 2020 - Elsevier
In this paper we consider a spectral problem for ordinary differential equations of fourth
order with the spectral parameter contained in three of the boundary conditions. We study …

[HTML][HTML] Dependence of eigenvalues of discontinuous fourth-order differential operators with eigenparameter dependent boundary conditions

J Qin, K Li, Z Zheng, J Cai - Journal of Nonlinear Mathematical Physics, 2022 - Springer
In this paper, we investigate a fourth-order differential operator with eigenparameter
dependent boundary conditions and transmission conditions. To study the eigenvalues of …

[PDF][PDF] Self-adjoint realization of a class of third-order differential operators with an eigenparameter contained in the boundary conditions

K Li, Y Bai, W Wang, F Meng - Journal of Applied Analysis & …, 2020 - jaac-online.com
The present paper deals with a class of third-order differential operators with
eigenparameter dependent boundary conditions. Using operator theoretic formulation, the …

Properties of eigenfunctions of a boundary value problem for ordinary differential equations of fourth-order with boundary conditions depending on the spectral …

ZS Aliyev, AE Fleydanli - Journal of Differential Equations, 2024 - Elsevier
In this paper, we consider an eigenvalue problem for fourth-order ordinary differential
equations with a spectral parameter contained in all boundary conditions. We characterize …

Spectra of a discrete Sturm-Liouville problem with eigenparameter-dependent boundary conditions in Pontryagin space

C Gao, L Lv, Y Wang - Quaestiones Mathematicae, 2021 - Taylor & Francis
In this paper, we consider the spectra of a discrete Sturm-Liouville problem with two
eigenparameter-dependent boundary conditions. Different from the previous results, the …

Discontinuity of the nth eigenvalue for a vibrating beam equation

M Zhang, K Li, P Ju - Applied Mathematics Letters, 2024 - Elsevier
The present paper is concerned with the eigenvalues of a problem describing a vibrating
beam. The continuity and differentiability of the eigenvalues with respect to the parameters …

[PDF][PDF] Eigenvalues of fourth-order differential operators with eigenparameter dependent boundary conditions

J Qin, K Li, Z Zheng, J Cai - AIMS Mathematics, 2022 - aimspress.com
This paper is concerned with a fourth-order differential operator with eigenparameter
dependent boundary conditions. We prove that each of the eigenvalues of the problem can …

Spectral properties of discrete Sturm-Liouville problems with two squared eigenparameter-dependent boundary conditions

C Gao, Y Wang, L Lv - Acta Mathematica Scientia, 2020 - Springer
In this article, we consider a discrete right-definite Sturm-Liouville problems with two
squared eigenparameter-dependent boundary conditions. By constructing some new …

Spectral properties of a fourth-order differential operator with eigenvalue parameter-dependent boundary conditions

VA Mehrabov - Bulletin of the Malaysian Mathematical Sciences …, 2022 - Springer
This paper is devoted to the study of the spectral properties of one eigenvalue problem for
the fourth-order ordinary differential equations with a spectral parameter contained in two of …

Spectral properties of a beam equation with eigenvalue parameter occurring linearly in the boundary conditions

ZS Aliyev, GT Mamedova - Proceedings of the Royal Society of …, 2022 - cambridge.org
In this paper, we consider an eigenvalue problem for ordinary differential equations of fourth
order with a spectral parameter in the boundary conditions. The location of eigenvalues on …