Miscellaneous properties of Sturm-Liouville problems in multiplicative calculus

Authors : Güler Başak Öznur, Güher Gülçehre Özbey, Yelda Aygarküçükevcilioğlu, Rabia Aktaş

Pages : 1141-1154

Doi:10.31801/cfsuasmas.1272953

View : 59 | Download : 122

Publication Date : 2023-12-29

Article Type : Research Paper

Abstract :The purpose of this paper is to investigate some properties of multiplicative regular and periodic Sturm-Liouville problems given in general form. We first introduce regular and periodic Sturm-Liouville (S-L) problems in multiplicative analysis by using some algebraic structures. Then, we discuss the main properties such as orthogonality of different eigenfunctions of the given problems. We show that the eigenfunctions corresponding to same eigenvalues are unique modulo a constant multiplicative factor and reality of the eigenvalues of multiplicative regular S-L problems. Finally, we present some examples to illustrate our main results.
Keywords : Multiplicative calculus, multiplicative derivative, multiplicative integral, Sturm Liouville equation