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Non‐self‐adjoint boundary‐value problem with discontinuous density function
Author(s) -
Adıvar Murat,
Akbulut Ali
Publication year - 2009
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1247
Subject(s) - mathematics , self adjoint operator , eigenvalues and eigenvectors , gravitational singularity , boundary value problem , operator (biology) , mathematical analysis , spectrum (functional analysis) , differential operator , convergence (economics) , principal part , function (biology) , hilbert space , evolutionary biology , biology , biochemistry , chemistry , physics , repressor , quantum mechanics , transcription factor , economics , gene , economic growth
We determine spectrum and principal functions of the non‐self‐adjoint differential operator corresponding to 1‐D non‐self‐adjoint Schrödinger equation with discontinuous density function, provide some sufficient conditions guaranteeing finiteness of eigenvalues and spectral singularities, and introduce the convergence properties of principal functions. Copyright © 2009 John Wiley & Sons, Ltd.