This paper describes the N-dimensional vectorial Sturm-Liouville problem with coupled boundary conditions. We first derive the asymptotic expressions of large eigenvalues for the vectorial ...
It is shown that a generally complex-valued function of a real variable is a solution of a classical SturmLiouville eigenvalue problem if and only if a related twoparameter eigenvalue problem for a ...
Spectral theory provides a rigorous framework for analysing the eigenvalues and eigenfunctions of differential operators that play an essential role in mathematical physics. In particular, ...