【摘要】 考虑了一类具有转移条件的向量Sturm-Liouville问题的特征值及其重数问题.首先构造了与问题相关的新内积和基本解,得到特征值的充要条件.在此基础上证明了二维情况下,问题特征值的代数重数与几何重数相等.更多还原

【Abstract】 In this paper,the eigenvalues and its multiplicity for a class of vectorial SturmLiouville equations with transmission conditions is considered.A new inner product associated with the problems and the fundamental solutions are constructed.Then we get the necessary and sufficient conditions for the eigenvalues,show that the algebraic multiplicity of eigenvalues of the two-dimensional problems is equal to its geometric multiplicity.更多还原