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Indefinite eigenvalue problem with eigenparameter in the two boundary conditions

International Journal of Mathematics and Mathematical Sciences
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  • Mathematics


The object of this paper is to establish an expansion theorem for a regular indefinite eigenvalue problem of second order differential equation with an eigenvalue parameter,λ in the two boundary conditions. We associated with this problem a J-selfadjoint operator with compact resolvent defined in a suitable Krein space and then we develop an associated eigenfunction expansion theorem.

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