Non-local boundary value problems of arbitrary order

JRL Webb, G Infante - Journal of the London Mathematical …, 2009‏ - academic.oup.com
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 …

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 …

[PDF][PDF] A cantilever equation with nonlinear boundary conditions

G Infante, P Pietramala - Electron. J. Qual. Theory Differ. Equ, 2009‏ - emis.dsd.sztaki.hu
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 …

Positive fixed points and fourth-order equations

JA Cid, D Franco, F Minhós - Bulletin of the London …, 2009‏ - academic.oup.com
This work presents sufficient conditions for the existence of at least one positive solution for
a nonlinear fourth-order beam equation under Lidstone boundary conditions. The main tool …

[PDF][PDF] Positive solutions for a nonlocal fourth order equation of Kirchhoff type

TF Ma - Conference Publications, 2007‏ - aimsciences.org
POSITIVE SOLUTIONS FOR A NONLOCAL FOURTH ORDER EQUATION OF KIRCHHOFF
TYPE To Fu Ma 1. Introduction. In this paper we study the e Page 1 DISCRETE AND …

Lower and upper solutions for a fully nonlinear beam equation

F Minhós, T Gyulov, AI Santos - Nonlinear Analysis: Theory, Methods & …, 2009‏ - Elsevier
In this paper the two point fourth order boundary value problem is considered where f:[0, 1]×
R4→ R is a continuous function satisfying a Nagumo-type condition. We prove the existence …

A note on a class of problems for a higher-order fully nonlinear equation under one-sided Nagumo-type condition

MR Grossinho, F Minhós, AI Santos - Nonlinear Analysis: Theory, Methods …, 2009‏ - Elsevier
The purpose of this work is to establish existence and location results for the higher-order
fully nonlinear differential equation with the boundary conditions or with Ai, B, C∈ R, for i …

Positive solutions for some nonlocal and nonvariational elliptic systems

JM do Ó, S Lorca, J Sánchez… - Complex Variables and …, 2016‏ - Taylor & Francis
Using fixed point techniques, we study the existence and multiplicity of positive radial
solutions for two classes of nonlocal elliptic systems defined on bounded annular domains …

Fully nonlinear fourth-order equations with functional boundary conditions

A Cabada, FM Minhós - Journal of Mathematical Analysis and Applications, 2008‏ - Elsevier
The aim of this paper consists in to give sufficient conditions to ensure the existence and
location of the solutions of a nonlinear fully fourth-order equation with functional boundary …

Solvability for a third order discontinuous fully equation with nonlinear functional boundary conditions

A Cabada, F Minhós, AI Santos - Journal of mathematical analysis and …, 2006‏ - Elsevier
We prove an existence and location result for the third order functional nonlinear boundary
value problem with t0∈[a, b] given, f: I× C (I)× R2→ R is a L1-Carathéodory function and L0 …