首先给出分离型边界条件下右定Sturm-Liouville问题当势函数不同时的特征值比较,并根据左定与右定问题特征值的关系及左定问题特征值与右定问题实特征值的关系,进一步得到当势函数不同时左定Sturm-Liouville问题特征值比较和不定Sturm-Liouville问题的实特征值比较.
This paper first discussed the eigenvalue comparison theorem of SLP which based on the separated boundary condition,the eigenvalue and real eigenvalue comparison of left-definite and indefinite SLP with different potential functions are obtained by using the eigenvalue and real eigenvalue relations between left-definite and right-definite SLP.