论文标题
分布系数的多间隙耗散sturm-liouville边界值问题
Multi-interval dissipative Sturm-Liouville boundary-value problems with distributional coefficients
论文作者
论文摘要
该论文研究了具有分布系数的多间隙Sturm-liouville操作员的光谱特性。在边界条件方面，给出了所有自相邻和最大耗散/累积扩展的建设性描述。可以找到这些运算符的分解的足够条件，使其成为跟踪类的运算符以及要完成的根函数系统。纸张的结果是一间间隔边界价值问题的新成果。
The paper investigates spectral properties of multi-interval Sturm-Liouville operators with distributional coefficients. Constructive descriptions of all self-adjoint and maximal dissipative/accumulative extensions in terms of boundary conditions are given. Sufficient conditions for the resolvents of these operators to be operators of the trace class and for the systems of root functions to be complete are found. Results of paper are new for one-interval boundary value problems as well.
