【摘要】 该文研究具有混合型边界条件的一类不连续Sturm-liouville问题(SLPs)的二重特征值.文中构造出一个整函数,找到该问题的特征值及特征值重数与该整函数的关系,并给出某个实数是该不连续SLPs的二重特征值的一个充分必要条件.更多还原

【Abstract】 In this paper, the double eigenvalues for discontinuous Sturm-Liouville Problems(SLPs) with periodic boundary condition are investigated. An entire function is constructed, and the relationship between the entire function and eigenvalues and the multiplicity of eigenvalues is found. And the sufficient and necessary condition for a real number to be a double eigenvalue of the discontinuous SLPs is given.更多还原