[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 …

[PDF][PDF] Random attractors for non-autonomous stochastic plate equations with multiplicative noise and nonlinear damping

XB Yao - AIMS Math, 2020 - aimspress.com
Based on the abstract theory of pullback attractors of non-autonomous non-compact
dynamical systems by differential equations with both dependent-time deterministic and …

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 …

Inverse problems for discrete Sturm–Liouville operator having Bessel-type potential

S Mosazadeh, H Koyunbakan - Journal of Difference Equations …, 2024 - Taylor & Francis
In this paper, inverse problems are studied for Sturm–Liouville difference operators having p
2− 1/4 m 2 type singularity. First, we define the Green's function and the corresponding Weyl …

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 …

Existence of positive solutions for the fractional q-difference boundary value problem

Y Liang, H Yang, H Li - Advances in Difference Equations, 2020 - Springer
In this paper, we investigate the existence of positive solutions for a class of fractional
boundary value problems involving q-difference. By using the fixed point theorem of cone …

Local and global bifurcation of steady states to a general Brusselator model

Z Zhao, R Ma - Advances in Difference Equations, 2019 - Springer
In this paper, we consider the local and global bifurcation of nonnegative nonconstant
solutions of a general Brusselator model {− d 1△ u= a−(b+ 1) f (u)+ u 2 v, x∈ Ω,− d 2△ v= bf …

[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 …

Positive solutions of a discrete second-order boundary value problems with fully nonlinear term

L Jin, H Luo - Advances in Difference Equations, 2020 - Springer
In this paper, we mainly consider a kind of discrete second-order boundary value problem
with fully nonlinear term. By using the fixed-point index theory, we obtain some existence …

Global structure of sign-changing solutions for discrete Dirichlet problems

L Wei, R Ma - Open Mathematics, 2020 - degruyter.com
Let T> 1 be an integer, T≔[1, T] Z={1, 2,…, T}, T ˆ≔{0, 1,…, T+ 1}. In this article, we are
concerned with the global structure of the set of sign-changing solutions of the discrete …