[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 …

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 …

Uniqueness of Nonlinear Inverse Problem for Sturm–Liouville Operator with Multiple Delays

C Gao, G Du - Journal of Nonlinear Mathematical Physics, 2024 - Springer
The inverse problem concerns how to reconstruct the operator from given spectral data. The
main goal of this paper is to address nonlinear inverse Sturm–Liouville problem with …

Inverse problem for Sturm–Liouville operator with complex-valued weight and eigenparameter dependent boundary conditions

G Du, C Gao - Journal of Inverse and Ill-posed Problems, 2024 - degruyter.com
This paper is concerned with discontinuous inverse problem generated by complex-valued
weight Sturm–Liouville differential operator with λ-dependent boundary conditions. We …

[PDF][PDF] Spectral properties of a fourth-order eigenvalue problem with quadratic spectral parameters in a boundary condition

C Gao, M Ran - AIMS Mathematics, 2020 - aimspress.com
Consider the linear eigenvalue problem of fourth-order y (4)(x)−(q (x) y (x))= λy (x), 0< x< l, y
(0)= y (0)= 0,(a0+ a1λ+ a2λ2) y (l)+(b0+ b1λ+ b2λ2) y (l)= 0, y (l) cosδ− Ty (l) sinδ= 0, where …

Scattering properties of the nonlinear eigenvalue‐dependent Sturm‐Liouville equations with sign‐alternating weight and jump condition

N Coskun - Mathematical Methods in the Applied Sciences, 2024 - Wiley Online Library
This paper aims to investigate the scattering function and discrete spectrum of the impulsive
Sturm‐Liouville type differential operator with a turning point and nonlinear eigenparameter …

一类离散左定Sturm-Liouville 问题的谱

曹雪琴, 高承华 - 《 山东大学学报(理学版)》, 2021 - lxbwk.njournal.sdu.edu.cn
一类离散左定Sturm-Liouville问题的谱 Page 1 山东大学学报(理学版)2021年9月第56卷第9期
E-mail:xblxb@sdu.edu.cn Journal of Shandong University (Natural Science)ꎬ Vol.56ꎬ No.9ꎬ …

海水养殖循环系统不同功能区域微生物群落结构比较

郭战胜, 丁一, 张海涛, 侯旭光 - 《 山东大学学报(理学版) …, 2021 - lxbwk.njournal.sdu.edu.cn
为了探究海水养殖循环系统不同功能区域微生物群落结构特征ꎬ 深入了解水质理化因子与
微生物群落之间的相关性ꎬ 通过16S rRNA 扩增子高通量测序技术对系统不同功能区域水体 …

Existence of positive solutions of discrete third-order three-point BVP with sign-changing Green's function

Y Xu, W Tian, C Gao - Advances in Difference Equations, 2019 - Springer
Consider positive solutions and multiple positive solutions for a discrete nonlinear third-
order boundary value problem {Δ 3 u (t− 1)= a (t) f (t, u (t)), t∈[1, T− 2] Z, Δ u (0)= u (T)= 0, Δ …

An estimation of the eigenfunctions of periodic Sturm-Liouville problems

S Dinibutun - Arab Journal of Basic and Applied Sciences, 2021 - Taylor & Francis
In this paper, the numerical estimations for the eigenfunctions corresponding to the
eigenvalues of Sturm-Liouville problem with periodic and semi-periodic boundary conditions …