A Generalization of Ince’s Equation - Journal of Applied Mathematics and Physics

JAMP > Vol.2 No.13, December 2014

Journal of Applied Mathematics and Physics

Volume 2, Issue 13 (December 2014)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 1.00 Citations

A Generalization of Ince’s Equation ()

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DOI: 10.4236/jamp.2014.213137 4,739 Downloads 5,748 Views Citations

Author(s)

Ridha Moussa^*

Affiliation(s)

University of Wisconsin, Waukesha, USA.

ABSTRACT

We investigate the Hill differential equation

where A(t), B(t), and D(t) are trigonometric polynomials. We are interested in solutions that are even or odd, and have period π or semi-period π. The above equation with one of the above conditions constitutes a regular Sturm-Liouville eigenvalue problem. We investigate the representation of the four Sturm-Liouville operators by infinite banded matrices.

KEYWORDS

Hill Equation, Ince Equation, Sturm-Liouville Problem, Infinite Banded Matrix, Eigenvalues, Eigenfunctions

Share and Cite:

Moussa, R. (2014) A Generalization of Ince’s Equation. Journal of Applied Mathematics and Physics, 2, 1171-1182. doi: 10.4236/jamp.2014.213137.

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