We present a computational method for solving a class of boundary-value problems in Sturm-Liouville form. The algorithms are based on global polynomial collocation methods and produce discrete representations of the eigenfunctions. Error control is performed by evaluating the eigenvalue problem residuals generated when the eigenfunctions are interpolated to a finer discretization grid; eigenfun...

We extend the idea of Jodeit and Levitan [3] for constructing isospectral problems of the classical scalar Sturm-Liouville differential equations to the vectorial Sturm-Liouville differential equations. Some interesting relations are found.

Abstract The present paper deals with the eigenvalues of complex nonlocal Sturm-Liouville boundary value problems. bounds real and imaginary parts for differential equation involving potential terms associated conditions are obtained in integrable coefficients part eigenvalues.