Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument

Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument

1 Department of Mathematics, Faculty of Arts and Science, Namik Kemal University, 59030 Tekirdağ, Turkey 2Department of Mathematics Engineering, Istanbul Technical University, Maslak, 34469 Istanbul, Turkey 3 Department of Applied Mathematics, Pukyong National University, Busan 608-737, Republic of Korea 4Department of Mathematics, Faculty of Science and Arts, University of Gaziantep, 27310 Gaz...

The numerical values of the nodal points for the Sturm-Liouville equation with one turning point

An inverse nodal problem has first been studied for the Sturm-Liouville equation with one turning point. The asymptotic representation of the corresponding eigenfunctions of the eigenvalues has been investigated and an asymptotic of the nodal points is obtained. For this problem, we give a reconstruction formula for the potential function. Furthermore, numerical examples have been established a...

On the determination of asymptotic formula of the nodal points for the Sturm-Liouville equation with one turning point

In this paper, the asymptotic representation of the corresponding eigenfunctions of the eigenvalues has been investigated. Furthermore, we obtain the zeros of eigenfunctions.

On calculation of eigenvalues and eigenfunctions of a Sturm-Liouville type problem with retarded argument which contains a spectral parameter in the boundary condition

* Correspondence: [email protected] Department of Mathematics, Faculty of Arts and Science, Namık Kemal University, 59030 Tekirdağ, Turkey Abstract In this study, a discontinuous boundary-value problem with retarded argument which contains a spectral parameter in the boundary condition and with transmission conditions at the point of discontinuity is investigated. We obtained asymptotic formulas ...

Properties of Sturm-Liouville Eigenfunctions and Eigenvalues