DSpace Arşivi :: by Yazar "Mamedov, Khanlar R." değerine göre listeleniyor

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The discreteness of the spectrum of the Schrodinger operator equation and some properties of the s-numbers of the inverse Schrodinger operator
(Wiley, 2019) Hashimoglu, Ilyas; Akin, Omer; Mamedov, Khanlar R.
In 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.
On the Expansion Formula for a Class of Sturm-Liouville Operators
(Maik Nauka/Interperiodica/Springer, 2021) Mamedov, Khanlar R.; Hashimoglu, Ilyas
In this article, we consider the scattering problem for the Sturm-Liouville operator on the positive half-line with boundary condition depending quadratically of spectral parameter.The scattering data is defined. The resolvent operator is constructed and the expansion formula is obtained.