Relative oscillation theory and essential spectra of Sturm–Liouville operators
Journal of Mathematical Analysis and Applications(2023)
摘要
We develop relative oscillation theory for general Sturm–Liouville differential expressions of the form1r(−ddxpddx+q) and prove perturbation results and invariance of essential spectra in terms of the real coefficients p, q, r. The novelty here is that we also allow perturbations of the weight function r in which case the unperturbed and the perturbed operator act in different Hilbert spaces.
更多查看译文
关键词
Essential spectrum,Sturm–Liouville operators,Perturbations,Relative oscillation
AI 理解论文
溯源树
样例
![](https://originalfileserver.aminer.cn/sys/aminer/pubs/mrt_preview.jpeg)
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要