Multiplicity Results via Topological Degree for Impulsive Boundary Value Problems under Non-Well-Ordered Upper and Lower Solution Conditions

Multiplicity Results via Topological Degree for Impulsive Boundary Value Problems under Non-Well-Ordered Upper and Lower Solution Conditions

<p/> <p>Some multiplicity results for solutions of an impulsive boundary value problem are obtained under the condition of non-well-ordered upper and lower solutions. The main ideas of this paper are to associate a Leray-Schauder degree with the lower or upper solution.</p>

Bibliographic Details
Main Authors: O&apos;Regan Donal, Agarwal RP, Xian Xu
Format: Article
Language:English
Published: SpringerOpen 2008-01-01
Series:Boundary Value Problems
Online Access:http://www.boundaryvalueproblems.com/content/2008/197205
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spelling doaj-fab261da88e54404a7e8ad84f68549462020-11-24T22:38:51ZengSpringerOpenBoundary Value Problems1687-27621687-27702008-01-0120081197205Multiplicity Results via Topological Degree for Impulsive Boundary Value Problems under Non-Well-Ordered Upper and Lower Solution ConditionsO&apos;Regan DonalAgarwal RPXian Xu<p/> <p>Some multiplicity results for solutions of an impulsive boundary value problem are obtained under the condition of non-well-ordered upper and lower solutions. The main ideas of this paper are to associate a Leray-Schauder degree with the lower or upper solution.</p>http://www.boundaryvalueproblems.com/content/2008/197205
collection DOAJ
language English
format Article
sources DOAJ
author O&apos;Regan Donal
Agarwal RP
Xian Xu
spellingShingle O&apos;Regan Donal
Agarwal RP
Xian Xu
Multiplicity Results via Topological Degree for Impulsive Boundary Value Problems under Non-Well-Ordered Upper and Lower Solution Conditions
Boundary Value Problems
author_facet O&apos;Regan Donal
Agarwal RP
Xian Xu
author_sort O&apos;Regan Donal
title Multiplicity Results via Topological Degree for Impulsive Boundary Value Problems under Non-Well-Ordered Upper and Lower Solution Conditions
title_short Multiplicity Results via Topological Degree for Impulsive Boundary Value Problems under Non-Well-Ordered Upper and Lower Solution Conditions
title_full Multiplicity Results via Topological Degree for Impulsive Boundary Value Problems under Non-Well-Ordered Upper and Lower Solution Conditions
title_fullStr Multiplicity Results via Topological Degree for Impulsive Boundary Value Problems under Non-Well-Ordered Upper and Lower Solution Conditions
title_full_unstemmed Multiplicity Results via Topological Degree for Impulsive Boundary Value Problems under Non-Well-Ordered Upper and Lower Solution Conditions
title_sort multiplicity results via topological degree for impulsive boundary value problems under non-well-ordered upper and lower solution conditions
publisher SpringerOpen
series Boundary Value Problems
issn 1687-2762
1687-2770
publishDate 2008-01-01
description <p/> <p>Some multiplicity results for solutions of an impulsive boundary value problem are obtained under the condition of non-well-ordered upper and lower solutions. The main ideas of this paper are to associate a Leray-Schauder degree with the lower or upper solution.</p>
url http://www.boundaryvalueproblems.com/content/2008/197205
work_keys_str_mv AT oaposregandonal multiplicityresultsviatopologicaldegreeforimpulsiveboundaryvalueproblemsundernonwellorderedupperandlowersolutionconditions
AT agarwalrp multiplicityresultsviatopologicaldegreeforimpulsiveboundaryvalueproblemsundernonwellorderedupperandlowersolutionconditions
AT xianxu multiplicityresultsviatopologicaldegreeforimpulsiveboundaryvalueproblemsundernonwellorderedupperandlowersolutionconditions
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