具有间断点的Sturm-Liouville问题的自伴边界条件

Self-adjoint Boundary of Sturm-Liouville Problem Conditions with a Discontinuous Point

在研究二阶Sturm-Liouville问题的边界条件时,通常会将这些边界条件分为分离型、耦合型及特殊的退化型3种类型.在研究具有间断点的Sturm-Liouville问题的自伴边界条件时,可考虑将其分为2种情况:在间断点处有转化条件和在间断点处没有转化条件时自伴边界条件的分类.

In the study of second order Sturm-Liouville problems,these boundary conditions are generally divided into separated type and the coupled type as well as the special degradation type.In the study of discontinuous point Sturm-Liouville problems with self-adjoint boundary conditions,it＇s classified into two kinds,namely converting conditions in discontinuous points,and no converting conditions from self-adjoint boundary in discontinuous points.