Etgen, Garret J.2022-06-222022-06-22197013673568https://hdl.handle.net/10657/9723This 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.application/pdfenThis 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.Thesisreformatted digital