Dependence of eigenvalues of regular Sturm- Liouville operators on the boundary condition  

作　　者：Xinya YANG 

机构地区：[1]School of Mathematics and Statistics,Shaanxi Normal University,Xi'an 710119,China [2]Shanxi Engineering Vocational College,Taiyuan 030009,China

出　　处：《Frontiers of Mathematics in China》2023年第1期63-74,共12页中国高等学校学术文摘·数学（英文）

基　　金：supported in part by the National Natural Science Foundation of China(Grant No.11571212).

摘　　要：In this paper,we study the continuous dependence of eigenvalue of Sturm-Liouville differential operators on the boundary condition by using of implicit function theorem.The work not only provides a new and elementary proof of the above results,but also explicitly presents the expressions for derivatives of the n-th eigenvalue with respect to given parameters.Further-more,we obtain the new results of the position and number of the generated double eigenvalues under the real coupled boundary condition.

关 键 词：Regular Sturm-Liouville operator EIGENVALUE implicit function theorem 

分 类 号：O17[理学—数学]