Breadcrumb

 
 

Multiple Solutions of a Generalized Singular Perturbed Bratu Problem

Title:

Multiple Solutions of a Generalized Singular Perturbed Bratu Problem

Bakri, Taoufik and Kuznetsof, Yuri A. and Verhurst, Ferdinand and Doedel, Eusebius (2012) Multiple Solutions of a Generalized Singular Perturbed Bratu Problem. International Journal of Bifurcation and Chaos, 22 (04). pp. 1250095-1. ISSN 0218-1274

[img]
Preview
PDF - Accepted Version
166Kb

Official URL: http://dx.doi.org/10.1142/S0218127412500952

Abstract


Nonlinear two-point boundary value problems (BVPs) may have none or more than one solution. For the singularly perturbed two-point BVP εu″ + 2u′ + f(u) = 0, 0 < x < 1, u(0) = 0, u(1) = 0, a condition is given to have one and only one solution; also cases of more solutions have been analyzed. After attention to the form and validity of the corresponding asymptotic expansions, partially based on slow manifold theory, we reconsider the BVP within the framework of small and large values of the parameter. In the case of a special nonlinearity, numerical bifurcation patterns are studied that improve our understanding of the multivaluedness of the solutions.

Divisions:Concordia University > Faculty of Engineering and Computer Science > Computer Science and Software Engineering
Item Type:Article
Refereed:Yes
Authors:Bakri, Taoufik and Kuznetsof, Yuri A. and Verhurst, Ferdinand and Doedel, Eusebius
Journal or Publication:International Journal of Bifurcation and Chaos
Date:2012
ID Code:974150
Deposited By:ANDREA MURRAY
Deposited On:14 Jun 2012 16:35
Last Modified:14 Jun 2012 16:35
All items in Spectrum are protected by copyright, with all rights reserved. The use of items is governed by Spectrum's terms of access.

Repository Staff Only: item control page

Document Downloads

More statistics for this item...

Concordia University - Footer