Browsing by Author "Amirov, R. Kh."
Now showing items 1-9 of 9
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Boundary value problem for second-order differential equations with coulomb singularity on a finite interval
Amirov, R. Kh.; Cakmak, Y.; Gulyaz, S. (INDIAN NAT SCI ACAD, 2006)Boundary value problem for second-order differential equations with Coulomb singularity on a finite interval has been studied. Asymptotic formulae for the eigenvalues and eigenfunctions have been obtained. Moreover, Weyl ... -
Direct and inverse problems for the Dirac operator with a spectral parameter linearly contained in a boundary condition
Amirov, R. Kh.; Keskin, B.; Ozkan, A. S. (SPRINGER, 2009)We investigate a problem for the Dirac differential operators in the case where an eigenparameter not only appears in the differential equation but is also linearly contained in a boundary condition. We prove uniqueness ... -
Discontinuous Sturm-Liouville Problems with Eigenvalue Dependent Boundary Condition
Amirov, R. Kh.; Ozkan, A. S. (SPRINGER, 2014)In this study, an inverse problem for Sturm-Liouville differential operators with discontinuities is studied when an eigenparameter appears not only in the differential equation but it also appears in the boundary condition. ... -
Inverse problems for impulsive Sturm-Liouville operator with spectral parameter linearly contained in boundary conditions
Amirov, R. Kh.; Ozkan, A. S.; Keskin, B. (TAYLOR & FRANCIS LTD, 2009)In this work, the Sturm-Liouville problem, with discontinuities in the case when an eigenparameter appears not only in the differential equation but also in one of the boundary conditions, is studied. The spectrum and the ... -
ON IMPULSIVE STURM-LIOUVILLE OPERATORS WITH COULOMB POTENTIAL AND SPECTRAL PARAMETER LINEARLY CONTAINED IN BOUNDARY CONDITIONS
Amirov, R. Kh.; Topsakal, N.; Guldu, Y. (SPRINGER, 2011)The Sturm-Liouville problem with linear discontinuities is investigated in the case where an eigenparameter appears not only in a differential equation but also in boundary conditions. Properties and the asymptotic behavior ... -
On impulsive Sturm-Liouville operators with singularity and spectral parameter in boundary conditions
Guldu, Y.; Amirov, R. Kh.; Topsakal, N. (SPRINGER, 2013)We study properties and the asymptotic behavior of spectral characteristics for a class of singular Sturm-Liouville differential operators with discontinuity conditions and an eigenparameter in boundary conditions. We also ... -
On the boundary value problem for the Sturm-Liouville equation with the discontinuous coefficient
Nabiev, A. Adiloglu; Amirov, R. Kh. (WILEY-BLACKWELL, 2013)We consider a boundary value problem for the Sturm-Liouville equation with piecewise-constant leading coefficient. We prove that some integral representations for the solutions of the considered equation can be obtained ... -
Sturm-Liouville operators with Coulomb potential which have discontinuity conditions inside an interval
Amirov, R. Kh.; Topsakal, N. (TAYLOR & FRANCIS LTD, 2008)In this study, transformation operators, some properties of kernels and properties of spectral characteristics are studied for Sturm-Liouville operators with the Coulomb potential which have discontinuity conditions inside ... -
Subdivisions of the spectra for cesaro, rhaly and weighted mean operators on c(0),c and l(P)
Amirov, R. Kh.; Durna, N.; Yildirim, M. (SPRINGER INTERNATIONAL PUBLISHING AG, 2011)There are many different ways to subdivide the spectrum of a bounded linear operator; some of them are motivated by applications to physics (in particular, quantum mechanics). In this study, the relationship between the ...