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

JAMP > Vol.2 No.13, December 2014

A Generalization of Ince’s Equation ()

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DOI: 10.4236/jamp.2014.213137 4,599 Downloads 5,753 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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