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Self-adjoint realization of a class of third-order differential operators with an eigenparameter contained in the boundary conditions |
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| Authors: | Kun Li Yulin Bai Wanyi Wang Fanwei Meng |
| Affiliation: | 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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