We give a new unified method of establishing the existence of multiple positive solutions for
a large number of non-linear differential equations of arbitrary order with any allowed …

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 …

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 …

1 Introduction Page 1 Electronic Journal of Qualitative Theory of Differential Equations Spec.
Ed. I, 2009 No. , 1–14; http://www.math.u-szeged.hu/ejqtde/ A CANTILEVER EQUATION WITH …

The authors consider booundary value problems for fourth order ordinary differential
equations of the form with the boundary conditions or They give sufficient conditions for the …

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 …

This paper is concerned with the fourth-order ordinary differential equationwith the four-point
boundary conditionswhere ξi∈[0, 1](i= 1, 2) and a, b, c, d are nonnegative constants …

On the existence of positive solutions of fourth-order difference equations - ScienceDirect
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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 …