najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМОnajo-1217Research ArticleCONTRIBUTED TALKSCONTRIBUTED TALKSEfimov’s effect for partial integral operators of Fredholm typeEshkabilovYu. Kh.

 Tashkent

yusup62@mail.ruKucharovR. R.

 Tashkent

ramz3364647@yahoo.comDepartment of Mechanics and Mathematics, National University of UzbekistanUzbekistan20132008202544Special Issue. INTERNATIONAL CONFERENCE "MATHEMATICAL CHALLENGE OF QUANTUM TRANSPORT IN NANOSYSTEMS - 2013. PIERRE DUCLOS WORKSHOP"529537Copyright © Eshkabilov Y.K., Kucharov R.R., 20252025Eshkabilov Y.K., Kucharov R.R.Eshkabilov Y.K., Kucharov R.R.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/1217

We study the existence of an infinite number of eigenvalues (the existence of Efimov’s effect) for a self-adjoint partial integral operators. We prove a theorem on the necessary and sufficient conditions for the existence of Efimov’s effect for the Fredholm type partial integral operators.

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The authors declare that there are no conflicts of interest present.