Completeness of the rootvectors of a dissipative Sturm–Liouville operators on time scales
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摘要
In this article, we consider dissipative Sturm–Liouville operators in the limit-circle case on time scales. Then, using the Livšic’s Theorem, we prove the completeness of the system of root vectors for dissipative Sturm–Liouville operators.
论文关键词：Dissipative Sturm–Liouville operator,Completeness of the system of eigenvectors and associated vectors,Livšic’s theorem,Time scale,-Differentiable
论文评审过程：Available online 14 December 2013.
论文官网地址：https://doi.org/10.1016/j.amc.2013.11.072
