Open AccessIndefinite eigenvalue problem with eigenparameter in the two boundary conditions
Author(s) -
S. F. M. Ibrahim
Publication year - 1996
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/s0161171298001082
Subject(s) - resolvent , mathematics , eigenfunction , eigenvalues and eigenvectors , lambda , operator (biology) , boundary (topology) , boundary value problem , differential operator , mathematical analysis , pure mathematics , algorithm , physics , repressor , transcription factor , chemistry , biochemistry , optics , gene , quantum mechanics
The object of this paper is to establish an expansion theorem for a regular indefiniteeigenvalue problem of second order differential equation with an eigenvalue parameter,λ in the twoboundary conditions. We associated with this problem a J-selfadjoint operator with compact resolventdefined in a suitable Krein space and then we develop an associated eigenfunction expansion theorem
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