Stănescu, Marius-Marinel; Bolcu, Dumitru; Rizescu, Sabin; Rinderu, Paul Absence of eigenvalues for integro-differential operators. (English) Zbl 1232.47039 Grigoriu, Mircea (ed.) et al., European computing conference. Proceedings of the 4th European computing conference (ECC’10), Bucarest, Romania, April 20–22, 2010. Athens: World Scientific and Engineering Academy and Society (WSEAS) (ISBN 978-960-474-183-0/CD-ROM; 978-960-474-178-6/hbk). Electrical and Computer Engineering Series. A Series of Reference Books and Textbooks., 17-22 (2010). Summary: In this paper, we obtain sufficient conditions (in some sense even the optimum) for the absence of eigenvalues of the operators (in general, nonselfadjoint) generated by integrodifferential expressions. The main results are obtained using an abstract scheme.For the entire collection see [Zbl 1202.68005]. MSC: 47G20 Integro-differential operators Keywords:spectral theory; non-selfadjoint operators; relatively bounded perturbations; differential and integro-differential operators; eigenvalue PDFBibTeX XMLCite \textit{M.-M. Stănescu} et al., in: European computing conference. Proceedings of the 4th European computing conference (ECC'10), Bucarest, Romania, April 20--22, 2010. Athens: World Scientific and Engineering Academy and Society (WSEAS). 17--22 (2010; Zbl 1232.47039)