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Accessible Unlicensed Requires Authentication Published by De Gruyter October 20, 2010

An inverse nodal problem for integro-differential operators

Yulia V. Kuryshova and Chung-Tsun Shieh
From the journal

Abstract

The inverse nodal problem of recovering integral-differential operators with the Sturm–Liouville differential part and the integral part of Volterra type is studied. We reconstruct the potential and the boundary conditions provided the kernel of integral perturbation is known. We prove a uniqueness theorem and provide reconstruction formulae for the potential and parameters of the boundary conditions.

Received: 2009-03-11
Published Online: 2010-10-20
Published in Print: 2010-October

© de Gruyter 2010