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In this paper, inverse problems are studied for Sturm–Liouville difference operators having p2−1/4m2 type singularity. First, we define the Green's function and the corresponding Weyl function, some of their properties are investigated, and we give a method to find the potential function. Then we give the solution of the inverse nodal problem and present a constructive procedure for the solution of the inverse problem by using nodes.
Mosazadeh et al. (Mon,) studied this question.
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