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A variational technique for optimal boundary control in a hyperbolic problem

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dc.contributor.authorSara, Yeşim
dc.contributor.authorKaar, Ahmet
dc.contributor.authorSubai, Murat
dc.date.accessioned2026-01-02T20:05:49Z
dc.date.issued2012-02-01
dc.description.abstractThe authors study the problem of controlling the boundary functions in a one dimensional hyperbolic problem by minimizing the functional including the final state. They prove the existence and uniqueness of the solution of the optimal control problem under consideration and give a necessary condition to the optimal solution by a variational inequality via the solution of the adjoint problem. Finally, they prove that a minimizing sequence defined by the method of projection of the gradient converges to the optimal solution.
dc.description.urihttps://doi.org/10.1016/j.amc.2011.12.053
dc.description.urihttps://zbmath.org/6047672
dc.description.urihttps://dx.doi.org/10.1016/j.amc.2011.12.053
dc.description.urihttps://avesis.atauni.edu.tr/publication/details/f547a37a-91b6-46ce-a415-ea0a50db201d/oai
dc.identifier.doi10.1016/j.amc.2011.12.053
dc.identifier.endpage6636
dc.identifier.issn0096-3003
dc.identifier.openairedoi_dedup___::6dd555a8731523036700701897617b27
dc.identifier.scopus2-s2.0-84856398987
dc.identifier.startpage6629
dc.identifier.urihttps://hdl.handle.net/20.500.12597/35575
dc.identifier.volume218
dc.identifier.wos000299847700001
dc.language.isoeng
dc.publisherElsevier BV
dc.relation.ispartofApplied Mathematics and Computation
dc.rightsCLOSED
dc.subjectNumerical optimization and variational techniques
dc.subjectDiscrete approximations in optimal control
dc.subjecthyperbolic problem
dc.subjectvariational methods
dc.subjectExistence theories for optimal control problems involving partial differential equations
dc.subjectvariational inequality
dc.subjectVariational inequalities
dc.subjectoptimal boundary control
dc.titleA variational technique for optimal boundary control in a hyperbolic problem
dc.typeArticle
dspace.entity.typePublication
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