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dc.contributor.advisorKiguradze, Tariel
dc.contributor.authorAljaber, Noha
dc.date.accessioned2018-10-19T18:10:52Z
dc.date.available2018-10-19T18:10:52Z
dc.date.created2018-05
dc.date.issued2018-05
dc.date.submittedMay 2018
dc.identifier.urihttp://hdl.handle.net/11141/2619
dc.descriptionThesis (Ph.D.) - Florida Institute of Technology, 2018en_US
dc.description.abstractBoundary value problems in a multidimensional box for higher order linear hyperbolic equations are considered. The concept of associated problems are introduced. For general boundary value problems there are established: (i) Necessary and sufficient conditions for a linear problem to have the Fredholm property in two–dimensional case; (ii) Necessary and sufficient conditions of well–posedness in two–dimensional case; (iii) Unimprovable sufficient conditions for a linear problem to have the Fredholm property; (iv) Unimprovable sufficient conditions of well–posedness and α–well–posedness; (v) Effective sufficient conditions of unqie solvability of two–point, periodic and Dirichlet type problems. (iv) Unimprovable conditions of unique solvability of two dimensional ill–posed periodic problems. For the Dirichlet type problem in a two–dimensional smooth convex domain: (i) Sufficient conditions for a linear problem to have the Fredholm property; (ii) sufficient conditions of unique solvability. For quasi–linear boundary value problems there are established: (i) Optimal sufficient conditions of solvability and unique solvability; (ii) Effective sufficient conditions of solvability of periodic and Dirichlet type problems in case, where the righthand side of the equation has arbitrary growth order with respect to some phase variables.en_US
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen_US
dc.rightsCopyright held by author.en_US
dc.titleBoundary Value Problems in a Multidimensional Box for Higher Order Linear and Quasi-Linear Hyperbolic Equationsen_US
dc.typeDissertationen_US
dc.date.updated2018-05-30T15:19:24Z
thesis.degree.nameDoctor of Philosophy in Applied Mathematicsen_US
thesis.degree.levelDoctoralen_US
thesis.degree.disciplineApplied Mathematicsen_US
thesis.degree.departmentMathematical Sciencesen_US
thesis.degree.grantorFlorida Institute of Technologyen_US
dc.type.materialtext


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