Discrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational ScienceDiscrete and Continuous Models and Applied Computational Science2658-46702658-7149Peoples' Friendship University of Russia named after Patrice Lumumba (RUDN University)5192810.22363/2658-4670-2026-34-2-274-278JOTBVJLettersПисьмаResearch ArticleOn the classical Volterra spectral equationО классическом спектральном уравнении Вольтеррыhttps://orcid.org/0000-0002-4053-7983TsedenbayarDashdondogЦэдэнбаярД.

Academician, Professor, Doctor of Sciences in Physics and Mathematics

tsdnbr@must.edu.mn36661503100Ser-OdBayaraaСэр-ОдБ.

Associate professor of Department of Mathematics at School of Applied Sciences, Mongolian University of Science and Technology

serod_b@must.edu.mnWurenQiqigeЦэцэгУ.College of Mathematics and Computer Science, Chifeng University, No. 1, Yingbin Road, Hongshan District, Chinfeng city, Chifeng-024000, Inner Mongolia, Chinawurenqiqige@126.comInstitute of Mathematics and Digital Technology, Mongolian Academy of SciencesИнститут математики и цифровой технологии, Монгольская Академия НаукMongolian University of Science and TechnologyМонгольский Государственный Университет Науки и ТехнологииCollege of Mathematics and Computer Science, Chifeng UniversityКолледж математики и информатики Университета Чифэн15082026342VOL 34, NO2 (2026)ТОМ 34, №2 (2026)27427820082026Copyright ©; 2026, Tsedenbayar D., Ser-Od B., Wuren Q.Copyright ©; 2026, Цэдэнбаяр Д., Сэр-Од Б., Цэцэг У.2026Tsedenbayar D., Ser-Od B., Wuren Q.Цэдэнбаяр Д., Сэр-Од Б., Цэцэг У.https://creativecommons.org/licenses/by-nc/4.0https://journals.rudn.ru/miph/article/view/51928

We study the characterizations of the classical Volterra operator based on a simple relation between its singular numbers and the eigenvalues of its imaginary part on \( L^2[0,1] \).

Мы изучаем характеристики классического оператора Вольтерры на основе простого соотношения между его сингулярными числами и собственными значениями его мнимой части на \( L^2[0,1] \).

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