Repository logo
 
Publication

Compatibility conditions for systems of iterative functional equations with non-trivial contact sets

2021-05Journal article Restricted access
Simple item page
dc.contributor.authorBuescu, Jorge
dc.contributor.authorSerpa, Cristina
dc.date.accessioned2021-04-21T09:02:40Z
dc.date.available2021-04-21T09:02:40Z
dc.date.issued2021-05
dc.description.abstractSystems of iterative functional equations with a non-trivial set of contact points are not necessarily solvable, as the resulting intersections may lead to an overdetermination of the system. To obtain existence and uniqueness results additional conditions must be imposed on the system. These are the compatibility conditions, which we define and study in a general setting. An application to the affine and doubly affine cases allows us to solve an open problem in the theory of functional equations. In the last section we consider a special problem in a different perspective, showing that a complex compatibility condition may result in an elegant and simple property of the solution.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.citationBUESCU, Jorge; SERPA, Cristina – Compatibility conditions for systems of iterative functional equations with non-trivial contact sets. Results in Mathematics. ISSN 1422-6383. Vol. 76, N.º 2 (2021), pp. 1-19pt_PT
dc.identifier.doi10.1007/s00025-021-01365-xpt_PT
dc.identifier.eissn1420-9012
dc.identifier.issn1422-6383
dc.identifier.urihttp://hdl.handle.net/10400.21/13217
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.publisherSpringerpt_PT
dc.relationUIDB/04561/2020 - FCTpt_PT
dc.relation.publisherversionhttps://link.springer.com/content/pdf/10.1007/s00025-021-01365-x.pdfpt_PT
dc.subjectCompatibility conditionpt_PT
dc.subjectSystem of iterative functional equationspt_PT
dc.subjectFractal interpolationpt_PT
dc.subjectContact pointpt_PT
dc.subjectContact setpt_PT
dc.titleCompatibility conditions for systems of iterative functional equations with non-trivial contact setspt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.endPage19pt_PT
oaire.citation.issue2pt_PT
oaire.citation.startPage1pt_PT
oaire.citation.titleResults in Mathematicspt_PT
oaire.citation.volume76pt_PT
person.familyNameBuescu
person.familyNameSerpa
person.givenNameJorge
person.givenNameCristina
person.identifier.ciencia-id631B-B789-52D5
person.identifier.ciencia-id1B15-DA44-023A
person.identifier.orcid0000-0001-5444-5089
person.identifier.orcid0000-0002-8561-118X
person.identifier.ridO-8331-2015
person.identifier.scopus-author-id6507693814
person.identifier.scopus-author-id56538324400
rcaap.rightsclosedAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationad68e200-7e35-40ac-bfb2-071a53e19514
relation.isAuthorOfPublication3fb42403-d3c8-4217-aaab-47a7add778e2
relation.isAuthorOfPublication.latestForDiscoveryad68e200-7e35-40ac-bfb2-071a53e19514

Files

Original bundle
Now showing 1 - 1 of 1
No Thumbnail Available
Name:
Compatibility_CSerpa.pdf
Size:
421.73 KB
Format:
Adobe Portable Document Format
Download

Collections

ISEL - Matemática - Artigos