The BD property of a class of high-order singular difference operators


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Authors

  • R. Oinarov Faculty of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, 5 Munaitpasov St, 010008 Astana, Republic of Kazakhstan
  • D. Sarsenaly School of Artificial Intelligence and Data Science, Astana IT University, 55/11 Mangilik El Avenue, 010000 Astana, Republic of Kazakhstan
  • A. Temirkhanova Faculty of Mechanics and Mathematics, L.N. Gumilyov Eurasian National University, 5 Munaitpasov St, 010008 Astana, Republic of Kazakhstan

DOI:

https://doi.org/10.32523/2077-9879-2026-17-3-85-91

Keywords:

difference operators, spectral properties, BD property, non-oscillation, roundabout theorem, variational method

Abstract

This paper establishes a criterion for the discreteness of the spectrum and its boundedness from below for a symmetric difference operator of the \(2n\)-order with two positive coefficients.

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Published

2026-09-30

How to Cite

Oinarov, R., Sarsenaly, D., & Temirkhanova, A. (2026). The BD property of a class of high-order singular difference operators. Eurasian Mathematical Journal, 17(3), 85–91. https://doi.org/10.32523/2077-9879-2026-17-3-85-91

Issue

Vol. 17 No. 3 (2026)

Section

Articles