A Study of the scattering analysis of the multiplicative Sturm-Liouville problem

Authors

Güler Başak ÖznurFollow
Güher Gülçehre ÖzbeyFollow
YELDA AYGAR KÜÇÜKEVCİLİOĞLUFollow
Rabia Aktaş KaramanFollow

DOI

10.55730/1300-0098.3528

Abstract

The main purpose of this study is to examine the scattering analysis of a multiplicative Sturm-Liouville boundary value problem. Firstly, we find the Jost solution of this problem and give the Jost function to construct the scattering function of the problem. Secondly, we obtain asymptotic equations for Jost solution and investigate some properties of the Jost function. Moreover, we present other solutions of the problem by giving the relations between these solutions and Jost solution. Finally, we define the scattering function of this problem by using the Jost function and examine the basic properties of the scattering function.

Keywords

Multiplicative calculus multiplicative derivative multiplicative integral Jost solution scattering function

First Page

608

Last Page

622

Recommended Citation

Öznur, Güler Başak; Özbey, Güher Gülçehre; AYGAR KÜÇÜKEVCİLİOĞLU, YELDA; and Aktaş Karaman, Rabia (2024) "A Study of the scattering analysis of the multiplicative Sturm-Liouville problem," Turkish Journal of Mathematics: Vol. 48: No. 3, Article 17. https://doi.org/10.55730/1300-0098.3528
Available at: https://journals.tubitak.gov.tr/math/vol48/iss3/17