常型Sturm-Liouville问题的左定边值条件

摘要

本文刻画了常型Sturm-Liouville问题的左定边值条件.通过Sturm-Liouville微分算式的系数、区间端点以及边值条件给出了其左定性的充要条件.应用自伴边值条件分类,确切地给出了所有可能的左定边值条件.%In this paper, a necessary and sufficient condition on the boundary conditions of regular Sturm-Liouville problems to determine the left-definiteness is given. All possible forms of left-definite boundary conditions via complete classification of self-adjoint boundary conditions are presented.