Inverse nodal problems for singular diffusion equation

Author:

Amirov Rauf1ORCID,Durak Sevim2ORCID

Affiliation:

1. Institute of Mathematics and Mechanics Ministry of Science and Educatiun of the Azerbaijan Republic Baku Azerbaijan

2. Department of Mathematics, Faculty of Science Sivas Cumhuriyet University Sivas Turkey

Abstract

In this study, some properties of the pencils of singular Sturm–Liouville operators are investigated. Firstly, the behaviors of eigenvalues and eigenfunctions is learned, then for each discontinuity point a solution of the inverse problem is given to determine the potential function and parameters , and with the help of a dense set of nodes. And finally, a constructive method is given for solving the given inverse problem.

Publisher

Wiley

Reference47 articles.

1. Solvable Models in Quantum Mechanics

2. Inverse spectral and inverse nodal problems for Sturm‐Liouville equations with point δ$$ \delta $$ and δ′$$ {\delta}^{\prime } $$‐ interactions;Dzh M. M.;Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerbaijan,2019

3. On the eigenvalues and eingenfunctions of the Sturm‐Liouville operator with singular potential;Savchuk A. M.;Math. Notes,2001

4. Inverse problem of spectral analysis for diffusion operator with nonseparated boundary conditions and spectral parameter in boundary condition;Ibadzadeh Ch. G.;Azerbaijan J. Math.,2019

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