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

Journal Title: Cumhuriyet Science journal - Year 2018, Vol 39, Issue 3

Abstract

In this study, a formula for regularized sums of eigenvalues and nodal points of eigenfunctions for a discontinuous Sturm-Liouville problem with a constant retarded argument. Contrary to standart problems the spectral parameter appears not only in the differential equation, but also in one of the boundary conditions. Thus, we see whether the nodal points of eigenfunctions and the trace change or not.

Authors and Affiliations

Erdoğan ŞEN

Keywords

Related Articles

The Effect of Some Food Preservatives on Percentage of Survival and Longevity in Drosophila melanogaster

In this study, the toxic effects of ten food preservatives (sorbic acid, potassium sorbate, benzoic acid, sodium benzoate, potassium acetate, sodium metabisulphite, potassium metabisulphite, sodium tetraborate, sodium su...

Effects of (Mo/W) Co-Doping on Bulk BSCCO Superconductor

The effect of Mo substituting and W doping on (BiPb)2WxSr2Ca3Cu4-yMoyO12+& system where x=0, y= 0; x = 0.1, y= 0.0, 0.03, 0.06, 0.09 and 0.12 have been investigated. The superconducting samples prepared by using conv...

On Some New Ideal Convergent Sequence Spaces of -Method of Summability

In the present work, we introduce some ideal convergent sequence spaces by using  - summability method which is defined by P. N. Natarajan [On the -method of summability, Analysis] as a typically generalization of Nörlun...

Immobilization of Laccase in poly (Vinyl Alcohol)-Calcium Alginate Beads

Laccase enzyme (L) obtained from Tramates versicolor was entrapped into polyvinyl alcohol–calcium alginate (PVA-CaAlj) beads. Michaelis-Menten constant (Km) and maximum reaction rate (Vmax) values were found to be 1.70x1...

Structural and Optical Properties of Indium Selenide (InSe) Thin Films Deposited on Glass and GaSe Single Crystal Substrates by SILAR Method

Structural, morphological and optical properties of undoped and boron doped Indium Selenide (InSe) thin films grown on glass and layered Gallium Selenide (GaSe) single crystal substrates with SILAR method have been inves...

Download PDF file
  • EP ID EP488392
  • DOI 10.17776/csj.416602
  • Views 57
  • Downloads 0

How To Cite

Erdoğan ŞEN (2018). Computation of Trace and Nodal Points of Eigenfunctions for a Sturm-Liouville Problem with Retarded Argument. Cumhuriyet Science journal, 39(3), 597-607. https://europub.co.uk./articles/-A-488392