Asymptotic behavior of the eigenvalues of a boundary value problem for the operator Schrödinger equation with a spectral parameter entering the boundary condition polynomially

I.F. Hashimoglu

On the space H1=L2(H,[0,1]), where H is a separable Hilbert space, we study the asymptotic behavior of he eigenvalues of a boundary value problem for the operator Schrödinger equation. We investigate the case when one, and the same, spectral parameter participates linearly in the equation and polynomially in the boundary condition. Asymptotic formulas are obtained for the eigenvalues of the boundary value problem under consideration. 

Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 16,  supplement issue 4 (2023), pp. 35-42