TITLE:
A Generalization of Ince’s Equation
AUTHORS:
Ridha Moussa
KEYWORDS:
Hill Equation, Ince Equation, Sturm-Liouville Problem, Infinite Banded Matrix, Eigenvalues, Eigenfunctions
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.2 No.13,
December
23,
2014
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.