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.
"Resolvent for Non-Self-Adjoint Differential Operator with Block-Triangular Operator Potential." Abstr. Appl. Anal. 2016 (SI2) 1 - 6, 2016. https://doi.org/10.1155/2016/2964817