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A Generalization of Ince’s Equation

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DOI: 10.4236/jamp.2014.213137    3,590 Downloads   4,125 Views   Citations
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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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

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

References

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