Yazar "Hashimoglu, Ilyas" seçeneğine göre listele
Listeleniyor 1 - 5 / 5
Sayfa Başına Sonuç
Sıralama seçenekleri
Öğe Asymptotics of the number of eigenvalues of one-term second-order operator equations(Springer, 2015) Hashimoglu, IlyasWe study one-term operator L acting in the space H-1 = L-2([0,infinity); H) generated by the operator-differential expression L = -d/dx(P(x)d/dx) and the boundary condition y(0) = 0. We evaluate the asymptotic number of eigenvalues of the operator L under certain conditions.Öğe 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.Öğe An evaluation of powers of the negative spectrum of Schrodinger operator equation with a singularity at zero(Springeropen, 2017) Hashimoglu, IlyasIn this study, we Investigate the discreteness and finiteness of the negative spectrum of the differential operator L in the Hilbert space L-2(H, [0, infinity)), defined as L-y = -d(2)y/dx(2) + A(A+1)/x(2) y - Q(x)y, under the boundary condition y(0) = 0.& para;& para;In the case when the negative spectrum is finite, we obtain an evaluation for the sums of powers of the absolute values of negative eigenvalues. The obtained result is applied to a class of equations of mathematical physics.Öğe Numerical Study of Vortex Nucleation in Two-Band Superconductors(Ieee, 2012) Askerbeyli, Iman; Hashimoglu, IlyasIn this study, numerical aspects of the twodimensional, isothermal, isotropic two-band time-dependent Ginzburg-Landau (TB TDGL) equations in the presence of a external magnetic field are presented. The stability of finite element approximations of the solutions are discussed. Numerical experiments are presented for real two-band superconductor such as MgB2.Öğe On the Expansion Formula for a Class of Sturm-Liouville Operators(Maik Nauka/Interperiodica/Springer, 2021) Mamedov, Khanlar R.; Hashimoglu, IlyasIn 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.
