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On fixed point index theory for the sum of operators and applications to a class of ODEs and PDEs

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On fixed point index theory for the sum of operators and applications to a class of ODEs and PDEs

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dc.contributor.author Georgiev Georgiev, Svetlin es_ES
dc.contributor.author Mebarki, Karima es_ES
dc.date.accessioned 2021-10-06T06:28:52Z
dc.date.available 2021-10-06T06:28:52Z
dc.date.issued 2021-10-01
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/173896
dc.description.abstract [EN] The aim of this work is two fold: first  we  extend some results concerning the computation of the fixed point index for the sum of an expansive mapping and a $k$-set contraction  obtained in \cite{DjebaMeb, Svet-Meb}, to  the case of the sum $T+F$, where $T$ is a mapping such that $(I-T)$ is Lipschitz invertible and $F$ is a $k$-set contraction.  Secondly, as  illustration of some our theoretical results,  we study  the existence of positive solutions  for two classes of differential equations, covering a class of first-order ordinary differential equations (ODEs for short) posed on the positive half-line as well as  a class of  partial differential equations (PDEs for short). es_ES
dc.description.sponsorship Direction Générale de la Recherche Scientifique et du Développement Technologique DGRSDT. MESRS Algeria. Projet PRFU: C00L03UN060120180009 es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València es_ES
dc.relation.ispartof Applied General Topology es_ES
dc.rights Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) es_ES
dc.subject Positive solution es_ES
dc.subject Fixed point index es_ES
dc.subject Cone es_ES
dc.subject Sum of operators es_ES
dc.subject ODEs es_ES
dc.subject PDEs es_ES
dc.title On fixed point index theory for the sum of operators and applications to a class of ODEs and PDEs es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2021.13248
dc.relation.projectID info:eu-repo/grantAgreement/DGRSDT//C00L03UN060120180009/ es_ES
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Georgiev Georgiev, S.; Mebarki, K. (2021). On fixed point index theory for the sum of operators and applications to a class of ODEs and PDEs. Applied General Topology. 22(2):259-294. https://doi.org/10.4995/agt.2021.13248 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2021.13248 es_ES
dc.description.upvformatpinicio 259 es_ES
dc.description.upvformatpfin 294 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 22 es_ES
dc.description.issue 2 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\13248 es_ES
dc.contributor.funder Direction Générale de la Recherche Scientifique et du Développement Technologique, Argelia es_ES
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