On the nature of solutions of the linear homogeneous fourth order differential equation

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dc.contributor.advisorEtgen, Garret J.
dc.contributor.committeeMemberByrd, Richard D.
dc.contributor.committeeMemberSinkhorn, Richard D.
dc.contributor.committeeMemberMorris, William L.
dc.contributor.committeeMemberDawkins, George S.
dc.creatorScott, John Basil
dc.date.accessioned2022-06-22T13:40:23Z
dc.date.available2022-06-22T13:40:23Z
dc.date.issued1970
dc.description.abstractThis work is a study of the classical linear homogeneous differential equation (L) = p(t)y" + q(t)y' + r(t)y. The following properties of solutions of (L) are considered: (a) boundedness (h) asymptotic behavior (c) behavior for large t values (d) behavior of solutions possessing multiple zeros (e) disconjugacy (f) distribution of zeros. A sufficient condition for disconjugacy of (L) is given, and conditions are stated which guarantee the existence of three linearly independent uniformly bounded solutions whose first three derivatives tend to zero.
dc.description.departmentMathematics, Department of
dc.format.digitalOriginreformatted digital
dc.format.mimetypeapplication/pdf
dc.identifier.other13673568
dc.identifier.urihttps://hdl.handle.net/10657/9723
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. Section 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.titleOn the nature of solutions of the linear homogeneous fourth order differential equation
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.levelDoctoral
thesis.degree.nameDoctor of Philosophy

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