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Solution of the inverse problem for Bessel operator on an interval [Formula: see text]
Mesut Coskun1, Tuba Gulsen1, Hikmet Koyunbakan1
1Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkey.
Abstract:
In this note, we solve the inverse nodal problem for Bessel-type p-Laplacian problem [Formula: see text] on a special interval. We obtain some nodal parameters like nodal points and nodal lengths. In addition, we reconstruct the potential function by nodal points. Results obtained in this paper are similar to the classical Sturm-Liouville problem. However, equations of this type are considered with the condition defined at the origin. We solve the problem on the interval [Formula: see text], that problem is not singular.
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