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dc.rights.licenseRestricted to current Rensselaer faculty, staff and students. Access inquiries may be directed to the Rensselaer Libraries.
dc.contributorDiaz, Joaquin B., 1920-
dc.contributorCalinger, Ronald
dc.contributorHabetler, George J.
dc.contributorMcLaughlin, H. W.
dc.contributor.authorGoulet, John A.
dc.date.accessioned2021-11-03T08:44:31Z
dc.date.available2021-11-03T08:44:31Z
dc.date.created2017-02-01T15:10:33Z
dc.date.issued1976-08
dc.identifier.urihttps://hdl.handle.net/20.500.13015/1868
dc.descriptionAugust 1976
dc.descriptionSchool of
dc.description.abstractExistence and uniqueness results for the abstract partial differential equation of the form uxy=F( x,y,u,ux,uy), where values of the unknown function lies in an arbitrary Banach space. The solution is approximated by abstract"hyperbolic paraboloids", in a manner analogous to the classical method used in the existence proof for the ordinary differential equation dy/dx=F(x,y) using Cauchy-Euler polygons. Convergence is proven using the abstract versions of the theorems of Ascoli and Arzela; the latter in the case where derivatives of the solution are involved. Also used is a little known theorem of Mazur in proving pointwise compactness (as required by the Ascoli and Arzela theorems) of the aforementioned approximating sequences.
dc.language.isoENG
dc.publisherRensselaer Polytechnic Institute, Troy, NY
dc.relation.ispartofRensselaer Theses and Dissertations Online Collection
dc.subjectMathematics
dc.titleHyperbolic partial differential equations in a complete linear normed vector space
dc.typeElectronic thesis
dc.typeThesis
dc.digitool.pid177939
dc.digitool.pid177940
dc.digitool.pid177941
dc.rights.holderThis electronic version is a licensed copy owned by Rensselaer Polytechnic Institute, Troy, NY. Copyright of original work retained by author.
dc.description.degreePhD
dc.relation.departmentDept. of


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