Please use this identifier to cite or link to this item:
|Title: ||Lower and upper solutions for a fully nonlinear beam equation|
|Authors: ||Santos, Ana Isabel|
Minhós, Feliz M.
|Editors: ||Lakshmikantham, V.|
|Keywords: ||Fourth order boundary value problem|
lower and upper solutions
A priori estimate
|Issue Date: ||Jul-2009|
|Citation: ||Nonlinear Anal., 71, 1-2, (2009), 281-292.|
|Abstract: ||In this paper the two point fourth order boundary value problem is considered
where is a continuous function satisfying a Nagumo-type condition.
We prove the existence of a solution lying between lower and upper solutions using an a priori estimation, lower and upper solutions method and degree theory. The same arguments can be used, with adequate modifications, for any type of two-point boundary value problem, including all derivatives until order three, with the second and the third derivatives given in different end-points.
An application to the extended Fisher-Kolmogorov problem will be obtained.|
|Appears in Collections:||MAT - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica|
CIMA - Publicações - Artigos em Revistas Internacionais Com Arbitragem Científica
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.