Inverse Nodal Problem For An Integro-Differential Operator

Year 2015, Volume: 12 Issue: 1, - , 01.05.2015

Emrah Yılmaz

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.

Keywords

Integro-differential operator, nodal points, reconstruction formula

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