A Generalization of Ince’s Equation

DOI: 10.4236/jamp.2014.213137   PDF   HTML   XML   4,018 Downloads   4,557 Views   Citations

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.

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

Conflicts of Interest

The authors declare no conflicts of interest.

References

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