Araz R. Aliev, Elshad H. Eyvazov, “On discreteness of the spectrum of a high order differential operator in multidimensional case”, Proc. of Institute of mathematics and mechanics, 2014, Volume 40, Issue 1,Pages <nobr>28

On discreteness of the spectrum of a high order differential operator in multidimensional case

Araz R. Aliev^ab, Elshad H. Eyvazov^b

^a Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences, Baku
^b Baku State University

Abstract: In the paper, the self-adjointness of a high order differential operator in multidimensional case and the discreteness of its spectrum are proved. Furthermore, the expansion in terms of eigenfunctions of an arbitrary function from the space $L_{2} \left(\mathbb{R}_n \right)$ is obtained.

MSC: Primary 47F05; Secondary 35P05, 35P10

Received: 04.03.2014
Accepted: 29.04.2014

Language: English