摘要
In this paper, non-self-adjoint Sturm-Liuville operators in Weyl＇s limit-circle case are studied. We first determine all the non-self-adjoint boundary conditions yielding dissipative operators for each allowed Sturm-Liouville differential expression. Then, using the characteristic determinant, we prove the completeness of the system of eigenfunctions and associated functions for these dissipative operators.
基金
The author is partially supported by the Nature Science Foundation of Guangdong(5012285)
the"Thousand,Hundred,Ten"Science Foundation of Guangdong(Q02052)
the Nature Science Foundation of Education Bureau of Guangdong(Z02075)
