Inverse nodal problem for the Sturm-Liouville equation in multiplicative case

Abstract

In this study, the concepts of absolute value, limit, continuity, derivative and integral in multiplicative analysis are expressed. In addition, solution methods are expressed by considering differential equations in multiplicative calculus. Sturm-Liouville equation was established and the eigenvalues of the problem containing this equation and the spectral properties of the eigenfunctions were examined in multiplicative calculus. Inverse nodal problems, one of the inverse problem types in spectral analysis, are handled in multiplicative calculus and the solution of inverse nodal problem for the Sturm-Liouville equation is obtained in multiplicative calculus.