Determining functionals for the strongly damped nonlinear wave equation

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dc.authorid0000-0001-5506-5766
dc.contributor.authorÇelebi, Okay
dc.contributor.authorUğurlu, Davut
dc.date.accessioned2024-09-25T19:59:00Z
dc.date.available2024-09-25T19:59:00Z
dc.date.issued2007
dc.departmentBAİBÜ, Fen Edebiyat Fakültesi, Matematik Bölümü en_US
dc.description.abstractWe consider the existence of a wide collection of finite sets of functionals on the phase space H-2(0,1) boolean AND H-0(1))(0,1) that completely determines asymptotic behavior of solutions to the strongly damped nonlinear wave equation. The proof makes use of energy methods and the concept of the completeness defect. We also show that the number of determining nodes is two, that is, the asymptotic behavior of solutions is determined by the values of two sufficiently close points in the interval [0, 1].en_US
dc.identifier.doi10.1080/1726037X.2007.10698530
dc.identifier.endpage116en_US
dc.identifier.issn1726-037X
dc.identifier.issn2169-0057
dc.identifier.issue2en_US
dc.identifier.startpage105en_US
dc.identifier.urihttps://doi.org/10.1080/1726037X.2007.10698530
dc.identifier.urihttps://hdl.handle.net/20.500.12491/13865
dc.identifier.volume5en_US
dc.identifier.wosWOS:000217613200002en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.institutionauthorUğurlu, Davut
dc.institutionauthorid0000-0001-5506-5766
dc.language.isoenen_US
dc.publisherTaylor & Francis Ltden_US
dc.relation.ispartofJournal of Dynamical Systems and Geometric Theoriesen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.snmzYK_20240925en_US
dc.subjectNonlinear Wave Equationen_US
dc.subjectStrong Damping Termen_US
dc.subjectAsymptotic Behavioren_US
dc.subjectCompleteness Defecten_US
dc.subjectClose Points in The Interval
dc.titleDetermining functionals for the strongly damped nonlinear wave equationen_US
dc.typeArticleen_US

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