Editor-in-Chief: Kabanikhin, Sergey I.
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1Department of Mathematics, Saratov State University, Saratov, Russia. E-mail: jvkuryshova@rambler.ru, jkuryshova@info.sgu.ru
2Department of Mathematics, Tamkang University, Tamsui, Taipei County, Taiwan. E-mail: ctshieh@math.tku.edu.tw
Citation Information: Journal of Inverse and Ill-posed Problems. Volume 18, Issue 4, Pages 357–369, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: 10.1515/jiip.2010.014, October 2010
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.
Keywords.: Inverse nodal problem; integral-differential operators; eigenvalues
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