A Discontinuous Sturm-Liouville Operator With Indefinite Weight

Qiuxia Yang, Wanyi Wang

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.

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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