[PDF][PDF] An overview of the lower and upper solutions method with nonlinear boundary value conditions

A Cabada - Boundary value problems, 2011 - Springer
Review Article An Overview of the Lower and Upper Solutions Method with Nonlinear Boundary
Value Conditions Page 1 Hindawi Publishing Corporation Boundary Value Problems Volume …

Positivity and lower and upper solutions for fourth order boundary value problems

A Cabada, JA Cid, L Sanchez - Nonlinear Analysis: Theory, Methods & …, 2007 - Elsevier
This paper is devoted to the study the boundary value problem We prove the existence of at
least one, two or three solutions in the presence of a pair of, not necessarily ordered, lower …

[图书][B] Solvability of nonlinear singular problems for ordinary differential equations

I Rachůnková, S Staněk, M Tvrdy - 2009 - books.google.com
The topic of singular boundary value problems has been of substantial and rapidly growing
interest for many scientists and engineers. This book is devoted to singular boundary value …

Periodic solutions of singular second order differential equations: upper and lower functions

R Hakl, PJ Torres, M Zamora - Nonlinear Analysis: Theory, Methods & …, 2011 - Elsevier
In this paper, we continue the study of the periodic problem for the second-order equation
[Formula: see text], where h is a Carathéodory function and f, g are continuous functions on …

Multiple positive solutions of a one-dimensional prescribed mean curvature problem

P Habets, P Omari - Communications in Contemporary Mathematics, 2007 - World Scientific
We discuss existence, non-existence and multiplicity of positive solutions of the Dirichlet
problem for the one-dimensional prescribed curvature equation in connection with the …

Singularities and Laplacians in boundary value problems for nonlinear ordinary differential equations

I Rachůnková, S Stan, M Tvrdý - Handbook of differential equations …, 2006 - Elsevier
In this text we investigate solvability of various nonlinear singular boundary value problems
for ordinary differential equations on the compact interval [0, T]. The nonlinearities in …

A multiplicity result for periodic solutions of Liénard equations with an attractive singularity

X Yu, S Lu - Applied Mathematics and Computation, 2019 - Elsevier
A periodic problem of Ambrosetti–Prodi type is studied in this paper for the Liénard equation
with a singularity of attractive type x ″+ f (x) x′+ φ (t) x m+ r (t) x μ= s, where f:(0,+∞)→ R is …

A seven-positive-solutions theorem for a superlinear problem

M Gaudenzi, P Habets, F Zanolin - Advanced Nonlinear Studies, 2004 - degruyter.com
We consider the superlinear boundary value problem uʺ+ aμ (t) uγ+ 1= 0, u (0)= 0, u (1)= 0,
where γ> 0 and aμ (t) is a sign indefinite weight of the form a+ (t)− μa−(t). We prove, for μ …

Some generalizations of fixed point theorems in partially ordered metric spaces and applications to partial differential equations with uncertainty

HV Long, NTK Son, R Rodríguez-López - Vietnam Journal of Mathematics, 2018 - Springer
Some generalized contractions using altering distances in partially ordered metric spaces
are investigated and their applications to fuzzy partial differential equations are considered …

A unified approach to singular problems arising in the membrane theory

I Rachůnková, G Pulverer, EB Weinmüller - Applications of Mathematics, 2010 - Springer
We consider the singular boundary value problem (t^ n u't))'+ t^ nf (t, u (t))= 0,\lim t → 0+ t^ n
u'(t)= 0, a_0 u (1)+ a_1 u'(1-)= A, where f (t, x) is a given continuous function defined on the …