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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