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dc.contributor.authorDemir Sağlam, Sevilay
dc.contributor.authorMahmudov, Elmkhan
dc.date.accessioned2021-12-10T10:02:48Z
dc.date.available2021-12-10T10:02:48Z
dc.date.issued2021
dc.identifier.citationDemir Sağlam S., Mahmudov E., "THE LAGRANGE PROBLEM FOR DIFFERENTIAL INCLUSIONS WITH BOUNDARY VALUE CONDITIONS AND DUALITY", PACIFIC JOURNAL OF OPTIMIZATION, cilt.17, sa.2, ss.209-225, 2021
dc.identifier.issn1348-9151
dc.identifier.othervv_1032021
dc.identifier.otherav_24038c59-0fd0-47c3-8ef9-ef66f1cc84ce
dc.identifier.urihttp://hdl.handle.net/20.500.12627/169055
dc.description.abstractThe present article studies the duality of the Lagrange problem of optimal control theory with the boundary value constraints given by second-order polyhedral differential inclusions. Our primary aim is to establish results of duality for a boundary value problem with second-order differential inclusions. As a supplementary problem, we consider differential problems and formulate sufficient conditions of optimality, including particular transversality conditions incorporating the Euler-Lagrange type inclusions. After constructing the dual problem for second-order polyhedral differential inclusions, we prove that the adjoint Euler-Lagrange inclusion is simultaneously a dual relationship, which is satisfied by the pair of solutions of the primal and dual problems. Furthermore, solving numerical examples illustrates the application of these results.
dc.language.isoeng
dc.subjectGeneral Mathematics
dc.subjectOPERASYON ARAŞTIRMA VE YÖNETİM BİLİMİ
dc.subjectEkonomi ve İş
dc.subjectSosyal Bilimler (SOC)
dc.subjectMATEMATİK, UYGULAMALI
dc.subjectComputational Theory and Mathematics
dc.subjectSocial Sciences & Humanities
dc.subjectPhysical Sciences
dc.subjectTemel Bilimler
dc.subjectManagement Science and Operations Research
dc.subjectOrganizational Behavior and Human Resource Management
dc.subjectAnalysis
dc.subjectApplied Mathematics
dc.subjectAlgebra and Number Theory
dc.subjectNumerical Analysis
dc.subjectMathematics (miscellaneous)
dc.subjectModeling and Simulation
dc.subjectMatematik
dc.subjectTemel Bilimler (SCI)
dc.subjectSosyal ve Beşeri Bilimler
dc.subjectEkonometri
dc.subjectYöneylem
dc.subjectBilgisayar Bilimleri
dc.titleTHE LAGRANGE PROBLEM FOR DIFFERENTIAL INCLUSIONS WITH BOUNDARY VALUE CONDITIONS AND DUALITY
dc.typeMakale
dc.relation.journalPACIFIC JOURNAL OF OPTIMIZATION
dc.contributor.departmentİstanbul Üniversitesi , ,
dc.identifier.volume17
dc.identifier.issue2
dc.identifier.startpage209
dc.identifier.endpage225
dc.contributor.firstauthorID2771643


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