Dissertation/Thesis Abstract

On the generalized Ince equation
by Moussa, Ridha, Ph.D., The University of Wisconsin - Milwaukee, 2014, 195; 3636427
Abstract (Summary)

We investigate a Hill differential equation with trigonometric polynomial coefficients. we are interested in solutions which are even or odd and have period π or semi-period π. With one of the mentioned boundary conditions, our equation constitute a regular Sturm-Liouville eigenvalue problem. Using Fourier series representation each one of the four Sturm-Liouville operators is represented by an infinite banded matrix. In the particular cases of Ince and Lamé equations, the four infinite banded matrices become tridiagonal. We then investigate the problem of coexistence of periodic solutions and that of existence of polynomial solutions.

Indexing (document details)
Advisor: Volkmer, Hans
School: The University of Wisconsin - Milwaukee
Department: Mathematics
School Location: United States -- Wisconsin
Source: DAI-B 76/02(E), Dissertation Abstracts International
Subjects: Mathematics
Keywords: Hill differential equation, Ince equation, Sturm-Liouville operators
Publication Number: 3636427
ISBN: 978-1-321-18056-5
Copyright © 2020 ProQuest LLC. All rights reserved. Terms and Conditions Privacy Policy Cookie Policy