Indefinite eigenvalue problem with eigenparameter in the two boundary conditions

S. F. M. Ibrahim

International Journal of Mathematics and Mathematical Sciences, 1998, vol. 21, 1-10

Abstract:

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.

Date: 1998
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:602948

DOI: 10.1155/S0161171298001082

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