First-order three-point BVPs at resonance (II)

This paper deals with existence of solutions to three-point BVPs in perturbed systems of first-order ordinary differential equations at resonance. An existence theorem is established by using the Theorem of Borsuk and some examples are given to illustrate it. A result for computing the local degree...

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Main Authors: Mesliza Mohamed, Bevan Thompson, Muhammad Sufian Jusoh
Format: Article
Language:English
Published: University of Szeged 2011-08-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=826
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author Mesliza Mohamed
Bevan Thompson
Muhammad Sufian Jusoh
author_facet Mesliza Mohamed
Bevan Thompson
Muhammad Sufian Jusoh
author_sort Mesliza Mohamed
collection DOAJ
description This paper deals with existence of solutions to three-point BVPs in perturbed systems of first-order ordinary differential equations at resonance. An existence theorem is established by using the Theorem of Borsuk and some examples are given to illustrate it. A result for computing the local degree of polynomials whose terms of highest order have no common real linear factors is also presented.
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spelling doaj.art-60eee7df5f3e4355a509555149a90a4e2023-05-09T07:53:01ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752011-08-0120116812110.14232/ejqtde.2011.1.68826First-order three-point BVPs at resonance (II)Mesliza Mohamed0Bevan Thompson1Muhammad Sufian Jusoh2Universiti Teknologi MARA (Perlis), Arau, Perlis, MalaysiaThe University of Queensland, Queensland, AustraliaUniversiti Teknologi MARA (Perlis), Arau, Perlis, MalaysiaThis paper deals with existence of solutions to three-point BVPs in perturbed systems of first-order ordinary differential equations at resonance. An existence theorem is established by using the Theorem of Borsuk and some examples are given to illustrate it. A result for computing the local degree of polynomials whose terms of highest order have no common real linear factors is also presented.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=826three-point boundary value problemstheorem of borsukresonance case
spellingShingle Mesliza Mohamed
Bevan Thompson
Muhammad Sufian Jusoh
First-order three-point BVPs at resonance (II)
Electronic Journal of Qualitative Theory of Differential Equations
three-point boundary value problems
theorem of borsuk
resonance case
title First-order three-point BVPs at resonance (II)
title_full First-order three-point BVPs at resonance (II)
title_fullStr First-order three-point BVPs at resonance (II)
title_full_unstemmed First-order three-point BVPs at resonance (II)
title_short First-order three-point BVPs at resonance (II)
title_sort first order three point bvps at resonance ii
topic three-point boundary value problems
theorem of borsuk
resonance case
url http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=826
work_keys_str_mv AT meslizamohamed firstorderthreepointbvpsatresonanceii
AT bevanthompson firstorderthreepointbvpsatresonanceii
AT muhammadsufianjusoh firstorderthreepointbvpsatresonanceii