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

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  • Aleksandr Mikhailovich Kholkin

Abstract

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.

Suggested Citation

  • Aleksandr Mikhailovich Kholkin, 2016. "Resolvent for Non-Self-Adjoint Differential Operator with Block-Triangular Operator Potential," Abstract and Applied Analysis, Hindawi, vol. 2016, pages 1-6, November.
    • Handle: RePEc:hin:jnlaaa:2964817
    DOI: 10.1155/2016/2964817
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