Resolvent for Non-Self-Adjoint Differential Operator with Block-Triangular Operator Potential

A resolvent for a non-self-adjoint differential operator with a block-triangular operator potential, increasing at infinity, is constructed. Sufficient conditions under which the spectrum is real and discrete are obtained.

Bibliographic Details
Main Author: Aleksandr Mikhailovich Kholkin
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2016/2964817