2017
Том 69
№ 9

All Issues

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

Acikgoz M., Araci S., Şen E.


Abstract

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 domains of these operators.

Citation Example: Acikgoz M., Araci S., Şen E. Spectral problem for Sturm – Liouville operator with retarded argument which contains a spectral parameter in boundary condition // Ukr. Mat. Zh. - 2016. - 68, № 8. - pp. 1102-1114.