A Discontinuous Sturm-Liouville Operator With Indefinite Weight
A Discontinuous Sturm-Liouville Operator With Indefinite Weight
In this paper, we consider an indefinite Sturm-Liouville operator with eigenparameter-dependent boundary conditions andtransmission conditions. In an appropriate space K, we define a new self-adjoint operator A such that the eigenvalues ofA coincide with those of such a problem and obtain asymptotic approximation for its eigenvalues and eigenfunctions.