Spectral problem for Sturm – Liouville operator with retarded argument which contains a spectral parameter in boundary condition

• Date: 2016
• Main Authors: Acikgoz, M., Araci, S., Şen, E., Ацікгоц, М., Аракі, С., Сен, Е.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2016
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/1905
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove the existence of wave operators for the multidimensional electromagnetic Schr¨odinger operator in divergent form by the Cook method. Moreover, under certain conditions on the coefficients of the given operator, we establish the isometry of its wave operators and determine the initial domain...