This paper is concerned with the following nonlinear third-order three-point boundary value
problem: where 0< η< 1 and 1< α< 1η. First, the Green's function for the associated linear …

We determine the Green's function for the third-order three-point generalized right focal
boundary value problem [Formula: see text][Formula: see text] where δ> 0, and determine …

In this work, by employing the Guo–Krasnosel'skii fixed point theorem and Schauder's fixed
point theorem, we study the existence and nonexistence of positive solutions to the third …

In this paper, the authors consider the nonlinear fourth order ordinary differential equation
[Formula: see text] with the boundary conditions [Formula: see text] Some results on the …

Regular third-order boundary value problems with eigenparameter-dependent boundary
conditions and transmission conditions are investigated. It is obtained that the eigenvalues …

Several eigenvalue properties of the third-order boundary value problems with distributional
potentials are investigated. Firstly, we prove that the operators associated with the problems …

We determine a Green's function for the singular three-point third-order BVP and then we
apply the classical Krasnosel'skiĭ's fixed point theorem on an also new cone. The emphasis …

By constructing suitable cone and control functions, we prove some local existence
theorems of positive solutions for a singular fourth-order two-point boundary value problem …

We consider a boundary value problem for the beam equation, in which the boundary
conditions mean that the beam is embedded at one end and free at the other end. Some …

In this work, the authors consider the fourth order nonlinear ordinary differential equation
with the four-point boundary conditions where 0≤ ξ1< ξ2≤ 1. By means of the upper and …