Existence theorems for differential equations on Banach spaces

dc.contributor.advisorKnopp, Paul J.
dc.contributor.committeeMemberBear, John L.
dc.contributor.committeeMemberManjarrez, Victor M.
dc.contributor.committeeMemberSinkhorn, Richard D.
dc.creatorBailey, Henry David
dc.date.accessioned2022-02-03T16:56:50Z
dc.date.available2022-02-03T16:56:50Z
dc.date.issued1968
dc.description.abstractIn this paper the local existence and uniqueness of solutions to differential equations on Banach spaces are proved for vector fields satisfying Lipschitz conditions. Some applications to classical theorems are given. Continuation of solutions and uniqueness of solutions on larger domains is studied using techniques involving approximate solutions. The final theorem combines the other results to prove that differential equations corresponding to time-dependent vector fields of class C[raised p], p > 1, have local solutions which are locally C[raised p] functions of time and initial conditions.
dc.description.departmentMathematics, Department of
dc.format.digitalOriginreformatted digital
dc.format.mimetypeapplication/pdf
dc.identifier.other13678765
dc.identifier.urihttps://hdl.handle.net/10657/8651
dc.language.isoen
dc.rightsThis item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. §107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder.
dc.titleExistence theorems for differential equations on Banach spaces
dc.type.dcmiText
dc.type.genreThesis
thesis.degree.collegeCollege of Arts and Sciences
thesis.degree.departmentMathematics, Department of
thesis.degree.disciplineMathematics
thesis.degree.grantorUniversity of Houston
thesis.degree.levelMasters
thesis.degree.nameMaster of Science

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