Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions

JRL Webb, G Infante, D Franco - Proceedings of the Royal Society of …, 2008 - cambridge.org
We establish new existence results for multiple positive solutions of fourth-order nonlinear
equations which model deflections of an elastic beam. We consider the widely studied …

A three point boundary value problem for nonlinear fourth order differential equations

JR Graef, C Qian, B Yang - Journal of Mathematical Analysis and …, 2003 - Elsevier
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 …

Variational approaches to impulsive elastic beam equations of Kirchhoff type

S Heidarkhani, GA Afrouzi, M Ferrara… - Complex Variables and …, 2016 - Taylor & Francis
In this paper, we study the existence of multiple solutions for impulsive fourth-order
differential equations of Kirchhoff type. Using a variational method and some critical points …

Existence and iteration of monotone positive solutions for an elastic beam equation with a corner

X Zhang - Nonlinear Analysis: Real World Applications, 2009 - Elsevier
This paper is concerned with the existence of monotone positive solutions for an elastic
beam equation with a corner. The boundary conditions mean that the beam is embedded at …

Global structure of positive solutions for semipositone nonlinear Euler-Bernoulli beam equation with Neumann boundary conditions

J Wang, C Gao, Y Lu - Quaestiones Mathematicae, 2023 - Taylor & Francis
In this paper, we focus on the existence of positive solutions for nonlinear fourth-order
Neumann boundary value problem where k 1 and k 2 are constants, λ> 0 is the bifurcation …

[PDF][PDF] Positive solutions of a nonlinear fourth-order integral boundary value problem

S Benaicha, F Haddouchi - Annals of West University of Timisoara …, 2016 - sciendo.com
In this paper, the existence of positive solutions for a nonlinear fourth-order two-point
boundary value problem with integral condition is investigated. By using Krasnoselskii's …

[PDF][PDF] Positive solutions for the beam equation under certain boundary conditions.

B Yang - Electronic Journal of Differential Equations (EJDE) …, 2005 - eudml.org
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 fastened with a sliding clamp at …

[PDF][PDF] Positive solutions of a nonlinear fourth order boundary value problem

JR Graef, B Yang - Communications on Applied Nonlinear …, 2007 - researchgate.net
POSITIVE SOLUTIONS OF A NONLINEAR FOURTH ORDER BOUNDARY VALUE PROBLEM
1. Introduction In this paper, we consider the fourth orde Page 1 POSITIVE SOLUTIONS OF A …

[PDF][PDF] Existence results for second order three-point boundary value problems

O Nica - Differ. Equ. Appl, 2012 - files.ele-math.com
The paper is devoted to the study of second order differential equations and systems with
nonlinear three point boundary conditions. The existence of solutions is proved using fixed …

A monotone method for fourth order boundary value problems involving a factorizable linear operator

P Habets, M Ramalho - Portugaliae Mathematica, 2007 - ems.press
We consider the nonlinear fourth order beam equation uiv= f (t, u, u′′), with boundary
conditions corresponding to the periodic or the hinged beam problem. In presence of upper …