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Self-adjoint realization of a class of third-order differential operators with an eigenparameter contained in the boundary conditions
Authors:Kun Li  Yulin Bai  Wanyi Wang  Fanwei Meng
Institution:Qufu Normal University;Inner Mongolia Normal University;Inner Mongolia Agricultural University
Abstract: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.
Keywords:Third-order differential operators  eigenparameter dependent boundary conditions  self-adjointness  Green function  
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