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Inverse Nodal Problem for an Integro-Differential Operator

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Abstract (2. Language): 
In this study, we consider an inverse nodal problem of recovering integro-differential operator with the Sturm-Liouville differential part and the integral part of Volterra type. Furthermore, we obtain a reconstruction formula for function M. So, we reconstruct the operator L with a dense subset of nodal points provided that the function q is known. Even if not all nodes are taken as data but a dense subset of nodes, inverse problem is determined.
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REFERENCES

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