ASYMPTOTICS OF EIGENVALUES OF RANK-ONE PERTURBATIONS OF THE DISCRETE SCHRÖDINGER OPERATOR ON TWO-DIMENSIONAL LATTICE
Keywords:
operator, spectrum, eigenvalue, eigenvalue asymptoticAbstract
We consider the family of discrete Schrödinger-type operator in two-dimensional lattice . We establish the existence or non-existence and also the finiteness of eigenvalues of lying above the essential spectrum. Moreover, we study the properties of eigenvalues as a function of in particular, we find the asymptotics of eigenvalues as sufficiently small and positive
Published
2024-08-12
How to Cite
Almuratov Firdavsjon, Pardabaev Mardon, & Bobonazarova Aynura. (2024). ASYMPTOTICS OF EIGENVALUES OF RANK-ONE PERTURBATIONS OF THE DISCRETE SCHRÖDINGER OPERATOR ON TWO-DIMENSIONAL LATTICE. FAN VA TA’LIM INTEGRATSIYASI (INTEGRATION OF SCIENCE AND EDUCATION), 2(2), 131–139. Retrieved from http://journal.uzfi.uz/index.php/ISE/article/view/137
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Section
Amaldagi son
