Journal of Mathematics Research
A Discontinuous Sturm-Liouville Operator With Indefinite Weight
Abstract
In this paper, we consider an indefinite Sturm-Liouville operator with eigenparameter-dependent boundary conditions and
transmission conditions. In an appropriate space K, we define a new self-adjoint operator A such that the eigenvalues of
A coincide with those of such a problem and obtain asymptotic approximation for its eigenvalues and eigenfunctions.
transmission conditions. In an appropriate space K, we define a new self-adjoint operator A such that the eigenvalues of
A coincide with those of such a problem and obtain asymptotic approximation for its eigenvalues and eigenfunctions.
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Journal of Mathematics Research ISSN 1916-9795 (Print) ISSN 1916-9809 (Online)
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