研究了一类边界条件带有特征参数的Strum—Liouville问题,一般情况下,它是非自伴的;应用复分析方法证明了它有可列个特征值,并对特征值做了渐近估计,获得了特征函数的完备性.
The Sturm-Liouville problem for boundary condition with eigenparameter is studied. On general case this problem is non-self-conjugate. In this paper the existence of eigenvelues is proved, the asymptotic estimations is discussed, and the completeness of system of eigenfunctions is obtained by using complex methods.