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Self-adjoint realization of a class of third-order differential operators with eigenparameter dependent boundary conditions
Kun Li,Yulin Bai,Wanyi Wang,Fanwei Meng
Keywords:third order differential operators, eigenparameter dependent boundary conditions, self-adjointness, Green function
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 involved.