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SELF-ADJOINT REALIZATION OF A CLASS OF THIRD-ORDER DIFFERENTIAL OPERATORS WITH AN EIGENPARAMETER CONTAINED IN THE BOUNDARY CONDITIONS
Author(s) -
Kun Li,
Yulin Bai,
Wanyi Wang,
Fanwei Meng
Publication year - 2020
Publication title -
journal of applied analysis and computation
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.55
H-Index - 21
eISSN - 2158-5644
pISSN - 2156-907X
DOI - 10.11948/20200002
Subject(s) - mathematics , differential operator , resolvent , boundary value problem , mathematical analysis , operator (biology) , realization (probability) , semi elliptic operator , spectrum (functional analysis) , physics , chemistry , biochemistry , statistics , repressor , quantum mechanics , transcription factor , gene
The present paper deals with a class of third-order differential operators with eigenparameter dependent boundary conditions. Using operator theoretic formulation, the self-adjointness of this operator is proved, the properties of spectrum are investigated, its Green function and the resolvent operator are also obtained.

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