Nilüfer Topsakal

• Professor (Associate) at Sivas Cumhuriyet University

In this study, we derive Gelfand-Levitan-Marchenko type main integral equation of the inverse problem for singular Sturm-Liouville equation which has discontinuous coefficient. Then we prove the unique solvability of the main integral equation.

In this paper, a discrete-time prey-predator population model with immigration which is obtained by implementing forward Euler's scheme has been considered. The existence of fixed points of the presented model has been investigated. Moreover, the stability analysis of the fixed points of the population model has been examined and the topological cl...

Aims: In this paper, a discrete-time prey-predator model with predator immigration has been considered. Methodology: The model was mathematically analysed and simulated in Mapple. Results: The complex dynamical behavior of the presented model has been analyzed. Stability and existence of coexistence positive fixed point have been investigated. More...

Aims: In this study, a class of Dirac operators with boundary conditions depend on the m−th degree polynomial of spectral parameter have been considered. Results: Properties of spectral characteristic are investigated and uniqueness theorems for the inverse problem are proved for this operator.

In this study, a class of Dirac operators with boundary conditions depend on the m-th degree polynomial of spectral parameter have been considered. Also, properties of spectral characteristic are investigated and uniqueness theorems for the inverse problem are proved for this operator.

In this study, properties of spectral characteristic are investigated for singular Sturm-Liouville operators in the case where an eigen parameter not only appears in the differential equation but is also linearly contained in the jump conditions. Also Weyl function for considering operator has been defined and the theorems which related to uniquene...

In this study, properties of spectral characteristic are investigated for singular Sturm-Liouville operators in the case where an eigen parameter not only appears in the differential equation but is also linearly contained in the jump conditions. Also Weyl function for considering operator has been defined and the theorems which related to uniquene...

In this study, properties and asymptotic behaviors of spectral characteristics and uniqueness theorems for the inverse problems are studied for a class of singular Sturm-Liouville differential operators with discontinuity conditions inside an interval.

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 determine theWeyl function for this problem and prove uniqueness theorems for a solution of the inverse problem corresponding t...

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 determine the Weyl function for this problem and prove uniqueness theorems for a solution of the inverse problem corresponding...

In this study, half inverse problem for singular Sturm-Liouville operator is considered. It is shown by Hochstadt and Lieberman's method that if the potential function q (x) prescribed on interval π 2 , π , then a single spectrum sufficies to determine q (x) on the whole interval (0, π) .

In this paper, a class of first kind Volterra integral equation is investigated, after their reduction to some studied types. Existence of solutions to our approximating equation is proved.

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 of spectral characteristics are studied for the Sturm–Liouville operators with Coulomb potential that have discontinuity condi...

In this study, properties of spectral characteristics are studied also a theorem on the completeness of eigenfunctions and uniquiness theorems for the inverse problems are proved for Sturm-Liouville differential operators with Coulomb potential and discontinuity conditions inside an interval.

In this study, properties of spectral characteristic are studied for Sturm–Liouville operators with Coulomb potential which have discontinuity conditions inside a finite interval. Also Weyl function for this problem under consideration has been defined and uniqueness theorems for solution ofinverse problem according to this function have been prove...

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 a finite interval.

In this study, representation with transformation operator has been obtained for Sturm-Liouville operators with Coulomb potential on a finite interval.