SELF-ADJOINT REALIZATION OF A CLASS OF THIRD-ORDER DIFFERENTIAL OPERATORS WITH AN EIGENPARAMETER CONTAINED IN THE BOUNDARY CONDITIONS

Kun Li; Yulin Bai; Wanyi Wang; Fanwei Meng

doi:10.11948/20200002

2020 Volume 10 Issue 6

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Kun Li, Yulin Bai, Wanyi Wang, Fanwei Meng. SELF-ADJOINT REALIZATION OF A CLASS OF THIRD-ORDER DIFFERENTIAL OPERATORS WITH AN EIGENPARAMETER CONTAINED IN THE BOUNDARY CONDITIONS[J]. Journal of Applied Analysis & Computation, 2020, 10(6): 2631-2643. doi: 10.11948/20200002

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Kun Li, Yulin Bai, Wanyi Wang, Fanwei Meng. SELF-ADJOINT REALIZATION OF A CLASS OF THIRD-ORDER DIFFERENTIAL OPERATORS WITH AN EIGENPARAMETER CONTAINED IN THE BOUNDARY CONDITIONS[J]. Journal of Applied Analysis & Computation, 2020, 10(6): 2631-2643. doi: 10.11948/20200002

SELF-ADJOINT REALIZATION OF A CLASS OF THIRD-ORDER DIFFERENTIAL OPERATORS WITH AN EIGENPARAMETER CONTAINED IN THE BOUNDARY CONDITIONS

1.
School of Mathematical Sciences, Qufu Normal University, Qufu, China
2.
School of Mathematical Sciences, Inner Mongolia University, Hohhot, China
3.
College of Mathematics Science, Inner Mongolia Normal University, Hohhot, China
4.
Inner Mongolia Agricultural University, Hohhot, China

Corresponding author: Email address:yulin@imnu.edu.cn(Y. Bai)

Abstract

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.
- Third-order differential operators /
- eigenparameter dependent boundary conditions /
- self-adjointness /
- Green function
MSC: 34B24, 34L15, 47B50, 34B05

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References

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