摘要
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.
出处
《河南大学学报（自然科学版）》
CAS
北大核心
2010年第2期115-118,共4页
Journal of Henan University:Natural Science
基金
国家自然科学基金资助项目(10871182)
关键词
非自伴
特征函数系
完备性
non-self-conjugate
eigenfunction
completeness
