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dc.contributor.advisorKiguradze, Tariel
dc.contributor.authorBeaubrun, Audison
dc.date.accessioned2019-10-10T20:07:05Z
dc.date.available2019-10-10T20:07:05Z
dc.date.created2019-05
dc.date.issued2019-05
dc.date.submittedMay 2019
dc.identifier.urihttp://hdl.handle.net/11141/2962
dc.descriptionThesis (Ph.D.) - Florida Institute of Technology, 2019.en_US
dc.description.abstractTwo–point boundary value problems in a multidimensional box for higher order nonlinear hyperbolic equations are considered. The concepts of a strongly isolated solution, and locally and globally strong well–posedness of a nonlinear boundary value problem are introduced. For general two–point boundary value problems and periodic problems there are established: (i) Necessary and sufficient conditions of locally and globally strong well–posedness; (ii) Unimprovable Sufficient conditions of solvability. For the Dirichlet and Periodic type problems for equations of even order there are established: (i) Effective sufficient conditions of solvability and locally strong well–posedness; (ii) Unimprovable sufficient conditions of solvability for the case, where the righthand side of equation has arbitrary growth order with respect to certain phase variables; (iii) sufficient conditions of solvability and locally strong well–posedness for the case, where the righthand side of equation is H¨older continuous with respect to certain principal phase variables. For initial–boundary value problems there are established: (i) Necessary and sufficient conditions of locally and globally strong well–posedness; (ii) Unimprovable sufficient conditions of local and global solvability.en_US
dc.format.mimetypeapplication/pdf
dc.language.isoen_USen_US
dc.rightsCopyright held by author.en_US
dc.titleTwo-Point Boundary Value Problems for Higher Order Nonlinear Hyperbolic Equationsen_US
dc.typeDissertationen_US
dc.date.updated2019-09-18T17:59:32Z
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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