A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus. (31st October 2021)

• Record Type: Journal Article
• Authors: Goktas, Sertac
• Other Names: Cinar Muhammed Academic Editor.
• Is Part Of: Journal of function spaces. Volume 2021(2021)
• Publication Date: 2021-10-31
• Subjects: Function spaces -- Periodicals; 515.7305
• DOI: 10.1155/2021/5203939
• Languages: English
• ISSNs: 2314-8896

Abstract

Abstract : In mathematical physics (such as the one-dimensional time-independent Schrödinger equation), Sturm-Liouville problems occur very frequently. We construct, with a different perspective, a Sturm-Liouville problem in multiplicative calculus by some algebraic structures. Then, some asymptotic estimates for eigenfunctions of the multiplicative Sturm-Liouville problem are obtained by some techniques. Finally, some basic spectral properties of this multiplicative problem are examined in detail.