Stability of essential spectra of singular Sturm‐Liouville differential operators under perturbations small at infinity.
- Resource Type
- Article
- Authors
- Sun, Huaqing; Qi, Jiangang
- Source
- Mathematical Methods in the Applied Sciences. Mar2018, Vol. 41 Issue 5, p2031-2038. 8p.
- Subject
- *ESSENTIAL spectrum
*STURM-Liouville equation
*DIFFERENTIAL operators
*PERTURBATION theory
*SCHRODINGER operator
- Language
- ISSN
- 0170-4214
This paper is concerned with the stability of essential spectra of singular Sturm‐Liouville differential operators with complex‐valued coefficients. It is proved that the essential spectrum of the corresponding minimal operator is preserved by perturbations small at infinity with respect to the unperturbed operator. Based on it, 1‐dimensional Schrödinger operators under local dilative perturbations are studied. [ABSTRACT FROM AUTHOR]