The discreteness of the spectrum of the Schrodinger operator equation and some properties of the s-numbers of the inverse Schrodinger operator

Hashimoglu, IlyasAkin, OmerMamedov, Khanlar R.2024-09-292024-09-2920190170-42141099-1476https://doi.org/10.1002/mma.5489https://hdl.handle.net/20.500.14619/3721In this article, we investigate the discreteness and some other properties of the spectrum for the Schrodinger operator L defined by the formula Ly=-d(2)y/dx(2)+A(A+I)/x(2)y+Q(x)xy on the space L-2(H, [0, infinity)), where H is a Hilbert space. For the first time, an estimate is obtained for sum of the s-numbers of the inverse Schrodinger operator. The obtained results were applied to the Laplace's equation in an angular region.eninfo:eu-repo/semantics/closedAccessdiscretenessHilbert spaceoperator differential equationsspectrumThe discreteness of the spectrum of the Schrodinger operator equation and some properties of the s-numbers of the inverse Schrodinger operatorArticle10.1002/mma.54892-s2.0-8506235543122437Q1223142WOS:000463164900005Q2