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中文摘要：
本文研究了具有转移条件且边界条件含特征参数的Sturm—Liouville算予L的特征函数系的完备性问题．首先，使用微分算子谱分析经典的方法，得到了A是该边值问题的特征值的充要条件．之后，借助新空间H和新算子T，证明了算子L的特征函数系作为新算子T的特征函数第一个分量形式H的标准正交基．
英文摘要：
In this paper,we investigate the completeness of eigenfunctions of the Sturm. Liouville operator with transmission conditions and eigenparameter-dependent boundary con ditions. Firstly,By means of studying the operator itself,we obtain the necessary and suffi- cient conditions for a is an eigenvalue. Then,investigate a self-adjoint linear operator T, asso- ciated with the above Sturrn-Liouville operator,in a suitable Hilbert space H, and prove the completeness of its eigenfunetions.
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