On the Control of Coefficient Function in a Hyperbolic Problem with Dirichlet Conditions

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dc.authoridSUBASI, MURAT/0000-0001-5895-143X
dc.authoridIGRET ARAZ, SEDA/0000-0002-7698-0709
dc.contributor.authorAraz, Seda Igret
dc.contributor.authorSubasi, Murat
dc.date.accessioned2024-12-24T19:29:48Z
dc.date.available2024-12-24T19:29:48Z
dc.date.issued2018
dc.departmentSiirt Üniversitesi
dc.description.abstractThis paper presents theoretical results about control of the coefficient function in a hyperbolic problem with Dirichlet conditions. The existence and uniqueness of the optimal solution for optimal control problem are proved and adjoint problem is used to obtain gradient of the functional. However, a second adjoint problem is given to calculate the gradient on the space W-2(1) (0, 1). After calculating gradient of the cost functional and proving the Lipschitz continuity of the gradient, necessary condition for optimal solution is constructed.
dc.identifier.doi10.1155/2018/7417590
dc.identifier.issn1687-9643
dc.identifier.issn1687-9651
dc.identifier.scopus2-s2.0-85056514733
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1155/2018/7417590
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7232
dc.identifier.volume2018
dc.identifier.wosWOS:000446875500001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherHindawi Ltd
dc.relation.ispartofInternational Journal of Differential Equations
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.titleOn the Control of Coefficient Function in a Hyperbolic Problem with Dirichlet Conditions
dc.typeArticle

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