边界条件中带有谱参数且具有k点不连续的Sturm-Liouville问题

Sturm-Liouville Problems of Discontinuities at k Points with Eigenparameter-dependent Boundary Conditions

Kadakal,Altinisik,Mukhtarov等已对边界条件带有谱参数且分别在一点和两点不连续的Sturm-Liouville问题的特征值和特征函数的渐近式作了研究.在其基础上,先是定义了新内积、讨论了算子的自伴性,然后研究了边界条件中带有谱参数且在k个点不连续的Sturm-Li-ouville特征问题及其特征值和特征函数的渐近式.

Kadakal, Altinisik and Mukhtarov have researched a series of the Sturm-Liouville problems with discontinuity at one point and spectral-parameters in boundary conditions. Later, they researched the Sturm-Liouville problems with discontinuity at two points. In order to get a final result, a class of Sturm-Liouville operators with discontinuity at k points and spectral-parameters in boundary conditions on the asymptotic analysis of eigenvalues and eigenfunctions are studied.