Inverse Nodal Problem For An Integro-Differential Operator

Abstract

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.